{"id":31385,"date":"2023-06-30T19:10:04","date_gmt":"2023-06-30T19:10:04","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=31385"},"modified":"2024-02-05T15:38:13","modified_gmt":"2024-02-05T15:38:13","slug":"universal-set-in-math-definition-symbol-examples-facts-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/universals-set","title":{"rendered":"Universal Set in Math &#8211; Definition, Symbol, Examples, Facts, FAQs"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-021aa67a-2e29-4772-9a28-4e8d236da71d\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/universals-set#0-what-is-universal-set-in-math>What Is Universal Set in Math?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/universals-set#3-venn-diagram-of-universal-set>Venn Diagram of Universal Set<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/universals-set#4-difference-between-universal-set-and-union-of-sets>Difference Between Universal Set and Union of Sets<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/universals-set#9-solved-examples-on-universal-set>Solved Examples on Universal Set<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/universals-set#10-practice-problems-on-universal-set>Practice Problems on Universal Set<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/universals-set#11-frequently-asked-questions-on-universal-set>Frequently Asked Questions on Universal Set<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-universal-set-in-math\">What Is Universal Set in Math?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>The universal set (symbol: <\/strong><strong>U<\/strong><strong>) is a set that contains all the elements of other related sets with respect to a given subject. It is a larger set that contains elements of all the related sets, without any repetition.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In mathematics, a set is defined as a collection of distinct, well-defined objects.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Examples: <\/strong>the set of whole numbers, the set of months in a year, the set of positive even integers, etc.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The universal set, as the term \u201cuniversal\u201d suggests, is the set containing all the relevant elements for the subject under discussion. It is the superset of all basic sets related to the given topic.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example:<\/strong> The set of real numbers is the universal set for the set of <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/integers\">integers<\/a>, the set of <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/rational-numbers\">rational numbers<\/a>, the set of natural numbers, and the set of <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/whole-numbers\">whole numbers<\/a>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Consider an example in day-to-day life. If we are listing or studying animals, the universal set would be the set of all the animals in the world. The set of all animals in each country can be considered as a subset of this universal set.<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/compare-the-sets-of-objects\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/count_comp_comp_grps_1_pt.png\" alt=\"Compare the Sets of Objects Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Compare the Sets of Objects Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/count-out-the-objects-from-a-set\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/count_comp_count_out_w10_pt.png\" alt=\"Count Out the Objects from a Set Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Count Out the Objects from a Set Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/make-the-sets-of-objects-equal\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/count_comp_eql_grps_pt.png\" alt=\"Make the Sets of Objects Equal Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Make the Sets of Objects Equal Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/rearrange-groups-to-make-a-set-bigger\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/count_comp_rearrange_grps_pt.png\" alt=\"Rearrange Groups to Make a Set Bigger Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Rearrange Groups to Make a Set Bigger Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/set-quarter-hours-on-an-analog-clock\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/time_qrtr_hrs_set_time_words_pt.png\" alt=\"Set Quarter Hours on an Analog Clock Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Set Quarter Hours on an Analog Clock Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/set-the-time-after-an-interval\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/time_set_time_interval_pt.png\" alt=\"Set the Time after an Interval Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Set the Time after an Interval Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/set-the-time\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/time_set_time_pt.png\" alt=\"Set the Time Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Set the Time Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/set-time-in-half-hours\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/time_set_time_half_hours_pt.png\" alt=\"Set Time in Half Hours Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Set Time in Half Hours Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/set-time-in-hours\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/time_set_time_hours_pt.png\" alt=\"Set Time in Hours Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Set Time in Hours Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/set-time-on-an-analog-clock\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/time_5_mins_set_time_ac_pt.png\" alt=\"Set Time on an Analog Clock Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Set Time on an Analog Clock Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-universal-set-definition\">Universal Set: Definition<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>The collection or set of all the elements in regard to a particular subject under discussion is known as a universal set.<\/strong><\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/find-fraction-of-a-set-of-objects\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/find-fraction-of-a-set-of-objects.jpeg\" alt=\"Find Fraction of a Set of Objects Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/find-fraction-of-a-set\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/find-fraction-of-a-set.jpeg\" alt=\"Find Fraction of a Set Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/represent-a-set-of-data\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/represent-a-set-of-data.jpeg\" alt=\"Represent a Set of Data Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/set-time-on-analog-clock\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/set-time-on-analog-clock.jpeg\" alt=\"Set Time on Analog Clock Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/set-time-on-the-clock\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/set-time-on-the-clock.jpeg\" alt=\"Set time on the Clock Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/values-of-sets-of-bills\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/values-of-sets-of-bills.jpeg\" alt=\"Values of Sets of Bills Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/write-the-value-of-a-set-of-coins\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/write-the-value-of-a-set-of-coins.jpeg\" alt=\"Write the Value of a Set of Coins Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-universal-set-symbol\">Universal Set: Symbol<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The capital letter &#8220;U&#8221; is usually used to denote a universal set. However, it is not a standard notation. The symbol \u201c\u03a9\u201d is also used to denote a Universal set. You can choose a symbol based on the topic at hand.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-venn-diagram-of-universal-set\">Venn Diagram of Universal Set<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A <\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/venn-diagram\"><strong>Venn diagram<\/strong><\/a><strong> is an illustration or pictorial representation that uses circles to show the relationships among things. Circles that overlap or intersect show that there are common elements present while circles that do not overlap do not share any common traits.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Venn diagrams were created by mathematician John Venn and are widely used today in computer science, problem-solving, and set theory.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">When drawing Venn diagrams, we use a rectangular box to represent the universal set. Circles are used to represent sets. All the subsets are drawn inside this box.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Consider the following example:&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Set $A = \\left\\{2, 4, 6, 7, 9\\right\\}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Set $B = \\left\\{2, 3, 4, 5\\right\\}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Universal Set $U = \\left\\{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\\right\\}$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"356\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/venn-diagram-of-universal-set-.png\" alt=\"Venn diagram of universal set \" class=\"wp-image-36042\" title=\"Venn diagram of universal set \" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/venn-diagram-of-universal-set-.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/venn-diagram-of-universal-set--300x172.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-difference-between-universal-set-and-union-of-sets\">Difference Between Universal Set and Union of Sets<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The universal set and the union of two or more sets can be confusing, but both these terms are different.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Universal Set<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We know that a universal set is a set that contains all the elements of other sets and is represented by the symbol \u201cU.\u201d&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Union of Two Sets<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The union of two sets A and B is the set that contains elements that are either in A or in B or in both A and B. The union of two sets A and B is a new set represented by A \u222a B.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In the Venn diagram shown below, the yellow shaded region represents the union of sets A and B. The entire rectangle with a purple border represents the universal set. It is represented by the letter \u201cU&#8221; at the top right corner.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"322\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/union-of-sets.png\" alt=\"Union of sets\" class=\"wp-image-36043\" title=\"Union of sets\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/union-of-sets.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/union-of-sets-300x156.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example:<\/strong> Let\u2019s consider three sets.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Set $A =$ Set of positive integers $= \\left\\{1, 2, 3, \u2026\\right\\}$&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Set $B =$ Set of negative integers $= \\left\\{\\;-\\;1, -2, \\;-\\;3, \u2026\\right\\}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Set $C = \\left\\{0\\right\\}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The universal set for the sets A, B, and C is the set of integers given by<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$U = \\left\\{&#8230;, \\;-\\;3, \\;-\\;2, \\;-\\;1, 0, 1, 2, 3, \u2026\\right\\}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The union of sets A and B is given by<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$A \\cup B = \\left\\{&#8230;, \\;-\\;3, \\;-\\;2, \\;-\\;1, 1, 2, 3, \u2026\\right\\}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Note that 0 is not present in the union of the sets A and B. However, it is present in the universal set.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-complement-of-universal-set\">Complement of Universal Set<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Every set has a complement. The complement of a set contains all the elements from the universal set that are not present in the given set. Thus, if an element is present in a complement of a set, it is not present in the set.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>The complement of the universal set is the empty set <\/strong>$\\left(\\text{symbol:}\\; \u2205\\; \\text{or} \\left\\{\\right\\}\\right)$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-universal-set-and-its-subsets\">Universal Set and Its Subsets<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">As the universal set contains all the elements of other sets, all related sets are subsets of the universal set.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">If every element in a set A is also an element in a set B, then A is a subset of B. The subset is represented by the symbol<strong> <\/strong>$\\subseteq$<strong>. <\/strong>Note that<strong> <\/strong>the symbol $\\subset$ is used to represent a proper subset.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$A \\subseteq B$ is read as A is a subset of B.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Since every set is a subset of itself, the universal set is also a subset of itself. &nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">U $\\subseteq$ U.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example: <\/strong>Let the set of real numbers be the universal set.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$U = \\left\\{ x | x\\; \\text{is a real number}\\right\\}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We can list a few subsets as<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">U is a subset of itself.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Set of rational numbers is the subset of the set of real numbers.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Set of integers is the subset of the set of real numbers.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Set of natural numbers is the subset of the set of real numbers.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Set of whole numbers is the subset of the set of real numbers.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-facts-about-universal-set\">Facts about Universal Set<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-4fc3f8e1 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>Universal set is the largest set under consideration for a given context that includes all the possible elements for a given subject.<\/li>\n\n\n\n<li>The universal set is the superset of all the sets that can be defined for the subject under consideration.<\/li>\n\n\n\n<li>The complement of a universal set is always an empty set.<\/li>\n\n\n\n<li>The concept of Universal set is extremely useful to study the properties of sets, and also the relationship between different sets under a given context.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">In this article, we have learned about the universal set, its complement and subsets. Let&#8217;s solve some universal set examples and practice problems for better understanding.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-solved-examples-on-universal-set\">Solved Examples on Universal Set<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>1. Assuming P is the set of positive odd integers and Q is the set of positive even integers, write the universal set of P and Q.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The sets P and Q can be written as:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$P = \\left\\{1, 3, 9\u2026\\right\\}$&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$Q = \\left\\{2, 4, 6\u2026\\right\\}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The universal set will be the set of positive integers (or <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/natural-numbers\">natural numbers<\/a>).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$U = \\left\\{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\u2026\\right\\}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>2. Draw a Venn diagram to represent the following sets:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$U = \\left\\{1, 2, 3, 4, 5, 6, 7, 8, 9\\right\\}, A = \\left\\{1, 2, 5, 6\\right\\}, B = \\left\\{3, 9\\right\\}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Draw a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangle\">rectangle<\/a> and label it U to represent the universal set. Draw two circles within the rectangle to represent the sets A and B. Label the circles and write the given elements in each <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/circle\">circle<\/a>. Write the remaining elements of the universal set outside the circles but within the rectangle.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$A = \\left\\{1, 2, 5, 6\\right\\}$&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$B = \\left\\{3, 9\\right\\}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The elements 4, 7, and 8 are not in the sets A and B. We will show them in the universal set.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"327\" height=\"177\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/venn-diagram.png\" alt=\"Venn diagram\" class=\"wp-image-36044\" title=\"Venn diagram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/venn-diagram.png 327w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/venn-diagram-300x162.png 300w\" sizes=\"auto, (max-width: 327px) 100vw, 327px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>3. State whether the following statements are true or false.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>1) Every set is a subset of itself.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>2) An empty set is not a subset of the universal set.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>3) The universal is the complement of an empty set.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>1)<\/strong> <strong>Every set is a subset of itself.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">True&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>2)<\/strong> <strong>An empty set is not a subset of the universal set.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">False&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">An empty set is a subset of every set.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>3) The universal is the complement of an empty set.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">True.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The universal set and empty set are complements of each other.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>4. Observe the following Venn diagram and write down the universal set.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"284\" height=\"184\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/universal-set-with-sets-A-and-B.png\" alt=\"Universal set with sets A and B\" class=\"wp-image-36046\" title=\"Universal set with sets A and B\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Set $A = \\left\\{3, 4, 5\\right\\}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Set $B = \\left\\{1, 5\\right\\}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">5 is common between both A and B.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The elements 2 and 6 are outside the sets A and B.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, the universal set $U = \\left\\{1, 2, 3, 4, 5, 6\\right\\}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-practice-problems-on-universal-set\">Practice Problems on Universal Set<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Universal Set in Math - Definition, Symbol, Examples, Facts, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">When studying the population of the country USA, what would be the universal set?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">U = the set of populations of all the states of USA<\/div><div class=\"spq_answer_block\" data-value=\"1\">U = the set of populations of all countries in the world<\/div><div class=\"spq_answer_block\" data-value=\"2\">U = the set of populations of all the cities in the world<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of the above<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: U = the set of populations of all countries in the world<br\/>We have to find a set that is a superset of the given set.<br>\r\nUniversal set contains all the related sets with respect to the given subject. If we are talking about the population of the US, the universal set would be the set that lists the populations of all the countries across the world.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">An empty set is ________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">a complement of universal set<\/div><div class=\"spq_answer_block\" data-value=\"1\">a subset of universal set<\/div><div class=\"spq_answer_block\" data-value=\"2\">a subset of itself<\/div><div class=\"spq_answer_block\" data-value=\"3\">All of the above.<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: All of the above.<br\/>An empty set is a subset of every set including itself. It is the complement of the universal set.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Let $A = \\left\\{1, 2\\right\\}, B = \\left\\{2, 4\\right\\}, C = \\left\\{4, 5, 6\\right\\}$. Find the universal set for sets A, B, C.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\left\\{1, 6, 7, 8, 9\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\left\\{1, 2, 3, 4\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\left\\{2, 4, 5, 6\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\left\\{1, 2, 3, 4, 5, 6\\right\\}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\left\\{1, 2, 3, 4, 5, 6\\right\\}$<br\/>Universal set is the set which is a superset of all basic sets of that type.<br>\r\n$\\left\\{1, 2, 3, 4, 5, 6\\right\\}$ is the set which contains all the elements of set A, B, C.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Which of the following is a universal set for the equilateral triangle?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Set of isosceles triangles<\/div><div class=\"spq_answer_block\" data-value=\"1\">Set of right triangles<\/div><div class=\"spq_answer_block\" data-value=\"2\">Set of acute triangles<\/div><div class=\"spq_answer_block\" data-value=\"3\">Set of obtuse triangles<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Set of isosceles triangles<br\/>Set of isosceles triangles can be considered as a universal set for a set of equilateral triangles because all equilateral triangles are isosceles.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">If U is the universal set containing the set of all the continents, which of the following will be a subset of U?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\left\\{\\text{Asia, Africa}\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\left\\{\\text{North America, South America}\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\left\\{\\text{Asia, Africa, North America, South America, Antarctica, Europe, Australia}\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">All of the above<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: All of the above<br\/>$U = \\left\\{\\text{Asia, Africa, North America, South America, Antarctica, Europe, Australia}\\right\\}$<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Universal Set in Math - Definition, Symbol, Examples, Facts, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Universal Set in Math\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"When studying the population of the country USA, what would be the universal set?\",\n                    \"text\": \"When studying the population of the country USA, what would be the universal set?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"We have to find a set that is a superset of the given set.<br>\r\nUniversal set contains all the related sets with respect to the given subject. If we are talking about the population of the US, the universal set would be the set that lists the populations of all the countries across the world.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"U = the set of populations of all the states of USA\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We have to find a set that is a superset of the given set.<br>\r\nUniversal set contains all the related sets with respect to the given subject. If we are talking about the population of the US, the universal set would be the set that lists the populations of all the countries across the world.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"U = the set of populations of all the cities in the world\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We have to find a set that is a superset of the given set.<br>\r\nUniversal set contains all the related sets with respect to the given subject. 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If we are talking about the population of the US, the universal set would be the set that lists the populations of all the countries across the world.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"U = the set of populations of all countries in the world\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We have to find a set that is a superset of the given set.<br>\r\nUniversal set contains all the related sets with respect to the given subject. If we are talking about the population of the US, the universal set would be the set that lists the populations of all the countries across the world.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We have to find a set that is a superset of the given set.<br>\r\nUniversal set contains all the related sets with respect to the given subject. If we are talking about the population of the US, the universal set would be the set that lists the populations of all the countries across the world.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"An empty set is ________.\",\n                    \"text\": \"An empty set is ________.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"An empty set is a subset of every set including itself. It is the complement of the universal set.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"a complement of universal set\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"An empty set is a subset of every set including itself. It is the complement of the universal set.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"a subset of universal set\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"An empty set is a subset of every set including itself. It is the complement of the universal set.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"a subset of itself\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"An empty set is a subset of every set including itself. It is the complement of the universal set.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"All of the above.\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"An empty set is a subset of every set including itself. It is the complement of the universal set.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"An empty set is a subset of every set including itself. It is the complement of the universal set.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Let $$A = \\\\left\\\\{1, 2\\\\right\\\\}, B = \\\\left\\\\{2, 4\\\\right\\\\}, C = \\\\left\\\\{4, 5, 6\\\\right\\\\}$$. Find the universal set for sets A, B, C.\",\n                    \"text\": \"Let $$A = \\\\left\\\\{1, 2\\\\right\\\\}, B = \\\\left\\\\{2, 4\\\\right\\\\}, C = \\\\left\\\\{4, 5, 6\\\\right\\\\}$$. Find the universal set for sets A, B, C.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Universal set is the set which is a superset of all basic sets of that type.<br>\r\n$$\\\\left\\\\{1, 2, 3, 4, 5, 6\\\\right\\\\}$$ is the set which contains all the elements of set A, B, C.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\left\\\\{1, 6, 7, 8, 9\\\\right\\\\}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Universal set is the set which is a superset of all basic sets of that type.<br>\r\n$$\\\\left\\\\{1, 2, 3, 4, 5, 6\\\\right\\\\}$$ is the set which contains all the elements of set A, B, C.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\left\\\\{1, 2, 3, 4\\\\right\\\\}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Universal set is the set which is a superset of all basic sets of that type.<br>\r\n$$\\\\left\\\\{1, 2, 3, 4, 5, 6\\\\right\\\\}$$ is the set which contains all the elements of set A, B, C.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\left\\\\{2, 4, 5, 6\\\\right\\\\}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Universal set is the set which is a superset of all basic sets of that type.<br>\r\n$$\\\\left\\\\{1, 2, 3, 4, 5, 6\\\\right\\\\}$$ is the set which contains all the elements of set A, B, C.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\left\\\\{1, 2, 3, 4, 5, 6\\\\right\\\\}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Universal set is the set which is a superset of all basic sets of that type.<br>\r\n$$\\\\left\\\\{1, 2, 3, 4, 5, 6\\\\right\\\\}$$ is the set which contains all the elements of set A, B, C.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Universal set is the set which is a superset of all basic sets of that type.<br>\r\n$$\\\\left\\\\{1, 2, 3, 4, 5, 6\\\\right\\\\}$$ is the set which contains all the elements of set A, B, C.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is a universal set for the equilateral triangle?\",\n                    \"text\": \"Which of the following is a universal set for the equilateral triangle?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Set of isosceles triangles can be considered as a universal set for a set of equilateral triangles because all equilateral triangles are isosceles.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Set of right triangles\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Set of isosceles triangles can be considered as a universal set for a set of equilateral triangles because all equilateral triangles are isosceles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Set of acute triangles\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Set of isosceles triangles can be considered as a universal set for a set of equilateral triangles because all equilateral triangles are isosceles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Set of obtuse triangles\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Set of isosceles triangles can be considered as a universal set for a set of equilateral triangles because all equilateral triangles are isosceles.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Set of isosceles triangles\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Set of isosceles triangles can be considered as a universal set for a set of equilateral triangles because all equilateral triangles are isosceles.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Set of isosceles triangles can be considered as a universal set for a set of equilateral triangles because all equilateral triangles are isosceles.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If U is the universal set containing the set of all the continents, which of the following will be a subset of U?\",\n                    \"text\": \"If U is the universal set containing the set of all the continents, which of the following will be a subset of U?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$U = \\\\left\\\\{\\\\text{Asia, Africa, North America, South America, Antarctica, Europe, Australia}\\\\right\\\\}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\left\\\\{\\\\text{Asia, Africa}\\\\right\\\\}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$U = \\\\left\\\\{\\\\text{Asia, Africa, North America, South America, Antarctica, Europe, Australia}\\\\right\\\\}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\left\\\\{\\\\text{North America, South America}\\\\right\\\\}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$U = \\\\left\\\\{\\\\text{Asia, Africa, North America, South America, Antarctica, Europe, Australia}\\\\right\\\\}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\left\\\\{\\\\text{Asia, Africa, North America, South America, Antarctica, Europe, Australia}\\\\right\\\\}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$U = \\\\left\\\\{\\\\text{Asia, Africa, North America, South America, Antarctica, Europe, Australia}\\\\right\\\\}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"All of the above\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$U = \\\\left\\\\{\\\\text{Asia, Africa, North America, South America, Antarctica, Europe, Australia}\\\\right\\\\}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$U = \\\\left\\\\{\\\\text{Asia, Africa, North America, South America, Antarctica, Europe, Australia}\\\\right\\\\}$$\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-frequently-asked-questions-on-universal-set\">Frequently Asked Questions on Universal Set<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-416f6f15-a8d3-484f-9d67-4e87aff83583\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-416f6f15-a8d3-484f-9d67-4e87aff83583\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-416f6f15-a8d3-484f-9d67-4e87aff83583\"><strong>What is a superset?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-416f6f15-a8d3-484f-9d67-4e87aff83583\">\n\n<p class=\"wp-block-paragraph\">If set A is the subset of set B, then set B is called the superset of A. This means that set B has all the elements of set A. If B is superset of A, we write it as $B \\supset A$.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-416f6f15-a8d3-484f-9d67-4e87aff83583\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-416f6f15-a8d3-484f-9d67-4e87aff83583\"><strong>What is the difference between the symbols<\/strong> $\\subset$<strong> and<\/strong> $\\subseteq$<strong> in set theory?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-416f6f15-a8d3-484f-9d67-4e87aff83583\">\n\n<p class=\"wp-block-paragraph\">A $\\subseteq$ B means that A is a subset of B.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A $\\subset$ B means that A is a proper subset of B. Every element of A is an element of B, but A is not equal to B.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-416f6f15-a8d3-484f-9d67-4e87aff83583\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-416f6f15-a8d3-484f-9d67-4e87aff83583\"><strong>What is the formula to calculate the universal set?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-416f6f15-a8d3-484f-9d67-4e87aff83583\">\n\n<p class=\"wp-block-paragraph\">There is no specific formula to find a universal set. The trick here is to represent all the elements in a set to get the universal set.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-416f6f15-a8d3-484f-9d67-4e87aff83583\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-416f6f15-a8d3-484f-9d67-4e87aff83583\"><strong>Can a universal set be an empty set ?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-416f6f15-a8d3-484f-9d67-4e87aff83583\">\n\n<p class=\"wp-block-paragraph\">The complement of the universal set can be considered an empty set because as the universal set includes the set of all elements, the empty set will include no elements.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-416f6f15-a8d3-484f-9d67-4e87aff83583\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-416f6f15-a8d3-484f-9d67-4e87aff83583\"><strong>Is zero set a null set?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-416f6f15-a8d3-484f-9d67-4e87aff83583\">\n\n<p class=\"wp-block-paragraph\">A zero set refers to a set with one element \u201c0.\u201d It is represented as $\\left\\{0\\right\\}$. Since this set has an element, it cannot be called a null set. It is a singleton set.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-5-416f6f15-a8d3-484f-9d67-4e87aff83583\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-416f6f15-a8d3-484f-9d67-4e87aff83583\"><strong>What is the difference between a universal set and an empty set?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-5-416f6f15-a8d3-484f-9d67-4e87aff83583\">\n\n<p class=\"wp-block-paragraph\">A universal set includes all possible elements in each context, while an empty set contains no elements.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-6-416f6f15-a8d3-484f-9d67-4e87aff83583\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-416f6f15-a8d3-484f-9d67-4e87aff83583\"><strong>Can a universal set be finite?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-6-416f6f15-a8d3-484f-9d67-4e87aff83583\">\n\n<p class=\"wp-block-paragraph\">Yes, a universal set can be finite, but it must include all possible elements in the given context.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-7-416f6f15-a8d3-484f-9d67-4e87aff83583\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-416f6f15-a8d3-484f-9d67-4e87aff83583\"><strong>How is a universal set related to a subset?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-7-416f6f15-a8d3-484f-9d67-4e87aff83583\">\n\n<p class=\"wp-block-paragraph\">As the universal set includes all possible elements, every related set is a subset of the universal set.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is Universal Set in Math? The universal set (symbol: U) is a set that contains all the elements of other related sets with respect to a given subject. It is a larger set that contains elements of all the related sets, without any repetition. In mathematics, a set is defined as a collection of &#8230; <a title=\"Universal Set in Math &#8211; Definition, Symbol, Examples, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/universals-set\" aria-label=\"More on Universal Set in Math &#8211; Definition, Symbol, Examples, Facts, FAQs\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-31385","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31385","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=31385"}],"version-history":[{"count":21,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31385\/revisions"}],"predecessor-version":[{"id":39942,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31385\/revisions\/39942"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=31385"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=31385"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=31385"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}