{"id":33512,"date":"2023-08-24T16:44:09","date_gmt":"2023-08-24T16:44:09","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=33512"},"modified":"2024-02-05T15:38:34","modified_gmt":"2024-02-05T15:38:34","slug":"roster-notation-roster-form-of-set-meaning-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/roster-notation","title":{"rendered":"Roster Notation (Roster Form of Set): Meaning, Examples"},"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-506a49da-c169-47ec-b6bb-64132f3d971f\" 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\/roster-notation#0-what-is-roster-notation-or-roster-form-of-a-set>What Is Roster Notation or Roster Form of a Set?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/roster-notation#3-roster-form-to-set-builder-form>Roster Form to Set Builder Form<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/roster-notation#4-roster-notation-vs-set-builder-notation>Roster Notation vs. Set Builder Notation<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/roster-notation#6-solved-examples-on-roster-notation>Solved Examples on Roster Notation<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/roster-notation#7-practice-problems-on-roster-notation>Practice Problems on Roster Notation<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/roster-notation#8-frequently-asked-questions-about-roster-notation>Frequently Asked Questions about Roster Notation<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-roster-notation-or-roster-form-of-a-set\">What Is Roster Notation or Roster Form of a Set?<\/h2>\n\n\n\n<p><strong>Roster notation or the roster form of a set is represented using curly brackets with elements separated by comma.<\/strong>&nbsp;<\/p>\n\n\n\n<p>Here, the order of elements does not matter. This is a simple and straightforward way to represent a set by listing the elements within curly brackets.<\/p>\n\n\n\n<p><strong>Roster Notation Example:<\/strong> The set of natural numbers less than 10 can be written using roster form as<\/p>\n\n\n\n<p>$A = \\left\\{1,\\; 2,\\; 3,\\; 4,\\; 5,\\; 6,\\; 7,\\; 8,\\; 9\\right\\}$<\/p>\n\n\n\n<p>In mathematics, a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/sets\">set<\/a> is defined as a collection of distinct, well-defined objects. Each item in the set is known as an element of the set. We always write elements of a set within curly brackets. A set can be presented into two ways:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Roster Notation<\/li>\n\n\n\n<li>Set Builder Form<\/li>\n<\/ul>\n\n\n\n<p>In this article, we will learn about the Roster Notation.<\/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\/use-words-to-identify-decimal-notations\" 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\/decimals_convert_words_to_dec_hundredths_pt.png\" alt=\"Use Words to Identify Decimal Notations 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\">Use Words to Identify Decimal Notations 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-venn-diagram-for-roster-form\">Venn Diagram for Roster Form<\/h2>\n\n\n\n<p>Roster form is the most simple method for representing the elements of a set. In the roster form, the elements are listed in a row.&nbsp;<\/p>\n\n\n\n<p>Drawing a Venn diagram with the help of roster notation is easy since we can easily read the elements and understand the number of elements present. Similarly, writing a set in the roster form using a given Venn diagram is equally not at all difficult.<\/p>\n\n\n\n<p><strong>Example 1:<\/strong> Let A be the set of months starting with F.<\/p>\n\n\n\n<p>Thus, A contains a single element. In roster form, the set A can be represented as<\/p>\n\n\n\n<p>$A = \\left\\{February\\right\\}$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"532\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/venn-diagram-of-a-singleton-set.png\" alt=\"Venn diagram of a singleton set\" class=\"wp-image-33521\" title=\"Venn diagram of a singleton set\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/venn-diagram-of-a-singleton-set.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/venn-diagram-of-a-singleton-set-300x257.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Example 2:<\/strong> Let B be the set of even numbers between 0 and 10.<\/p>\n\n\n\n<p>Set B can be represented in roster form as&nbsp;<\/p>\n\n\n\n<p>$B = \\left\\{2,\\; 4,\\; 6,\\; 8\\right\\}$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"532\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/venn-diagram-drawn-using-the-roster-form-of-a-set.png\" alt=\"Venn diagram drawn using the roster form of a set\" class=\"wp-image-33523\" title=\"Venn diagram drawn using the roster form of a set\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/venn-diagram-drawn-using-the-roster-form-of-a-set.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/venn-diagram-drawn-using-the-roster-form-of-a-set-300x257.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Example 3:<\/strong> Suppose we have a Venn diagram of set C.<\/p>\n\n\n\n<p>We can define the set using the Roster notation as<\/p>\n\n\n\n<p>$C = \\left\\{a,\\; e,\\; i,\\; o u\\right\\}$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"532\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/venn-diagram.png\" alt=\"Venn diagram of set C = {a, e, i, o, u}\" class=\"wp-image-33524\" title=\"Venn diagram of set C = {a, e, i, o, u}\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/venn-diagram.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/venn-diagram-300x257.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"2-limitations-of-roster-notation\">Limitations of Roster Notation<\/h2>\n\n\n\n<p>In the roster notation, we list the elements within curly brackets and separate the elements by comma. Now, imagine listing a large number of elements. It will be time consuming. It will also be difficult to get the idea of what the set actually represents.&nbsp;<\/p>\n\n\n\n<p><strong>Example: <\/strong>Suppose we want to represent the first 1000 natural numbers in a set A. It is not convenient to write 1000 numbers in a single row. We can overcome this limitation by using an ellipsis or three periods (&#8230;), which indicates that the same pattern is continued.&nbsp;<\/p>\n\n\n\n<p>Write the first few elements followed by three dots and finally the last element. Separate these elements with a comma.<\/p>\n\n\n\n<p>$A = \\left\\{1,\\; 2,\\; 3,\\; 4,&#8230;, 999\\right\\}$<\/p>\n\n\n\n<p><strong>Example 2: <\/strong>If a set has an infinite number of elements, like the set of whole numbers, it can be represented in roster form like:<\/p>\n\n\n\n<p>$D = \\left\\{0,\\; 1,\\; 2,\\; 3,\\; 4,&#8230;\\right\\}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-roster-form-to-set-builder-form\">Roster Form to Set Builder Form<\/h2>\n\n\n\n<p>We know that a set is a collection of well-defined objects. To represent a set in the set builder form, we first identify the unique property satisfied by all the elements in the given set and use a mathematical statement or a condition with a variable to define the set.&nbsp;<\/p>\n\n\n\n<p><strong>Roster form to the set builder form examples:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\">Roster Form<\/th><th class=\"has-text-align-left\" data-align=\"left\">Set Builder Form<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">$A = \\left\\{1,\\; 2,\\; 3,\\; 4,\\; 5,\\; 6,\\; 7,\\; 8\\right\\}$<\/td><td class=\"has-text-align-left\" data-align=\"left\">$A = \\left\\{ x\\in N |&nbsp; 1 \\le x \\le 8\\right\\}$<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">$B = \\left\\{1,\\; 4,\\; 9,\\; 16,\\; 25,\u2026\\right\\}$<\/td><td class=\"has-text-align-left\" data-align=\"left\">$B = \\left\\{ x^{2} |&nbsp; x \\in N\\right\\}$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-roster-notation-vs-set-builder-notation\">Roster Notation vs. Set Builder Notation<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\"><strong>Roster Form<\/strong><\/th><th class=\"has-text-align-left\" data-align=\"left\"><strong>Set Builder Form<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">It is represented by listing elements within curly brackets. Elements are separated by comma.<\/td><td class=\"has-text-align-left\" data-align=\"left\">It uses the unique properties or conditions satisfied by all the elements of the set to define the set.&nbsp;<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">We actually write the elements of the set.<\/td><td class=\"has-text-align-left\" data-align=\"left\">We do not write the actual elements of the set, but a logical condition\/statement\/ formula that leads to the elements of the set.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Convenient to use with the sets having fewer number of elements<\/td><td class=\"has-text-align-left\" data-align=\"left\">Convenient to use with the sets having a large or an infinite number of elements<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Easy to read and understand for a layman<\/td><td class=\"has-text-align-left\" data-align=\"left\">Can be tricky since a lot of math operators and symbols are used. Requires knowledge of math concepts to identify the elements of the set based on a given condition<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Example: Set of positive multiples of 6<br>$A = \\left\\{1,\\; 2,\\; 3,\\; 6\\right\\}$<\/td><td class=\"has-text-align-left\" data-align=\"left\">Example: Set of positive multiples of 6<br>$A = \\left\\{x |&nbsp; x = 6n\\; \\text{where}\\; n\\in N\\right\\}$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-facts-about-roster-notation\">Facts about Roster Notation<\/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-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>The roster form is also known as the enumeration notation as the enumeration is the process of listing things one after another.<\/li>\n\n\n\n<li>The Roster method is also known as the tabular method.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-solved-examples-on-roster-notation\">Solved Examples on Roster Notation<\/h2>\n\n\n\n<p><strong>1. Write the set of odd numbers less than 10 in a set notation form. What is the cardinality of the set?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Set of odd numbers $= \\left\\{1,\\; 3,\\; 5,\\; 7,\\; 9,\\; 11,\\; 13,&#8230;\\right\\}$<\/p>\n\n\n\n<p>Set of odd numbers less than $10 = \\left\\{1,\\; 3,\\; 5,\\; 7,\\; 9\\right\\}$<\/p>\n\n\n\n<p>Cardinality of the set $= 5$<\/p>\n\n\n\n<p><strong>2. <\/strong><strong>Express the sets P and Q in the roster form.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"291\" height=\"299\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/sets-p-and-q.png\" alt=\"Sets P and Q\" class=\"wp-image-33525\" title=\"Sets P and Q\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>In the set P, there are 4 elements. Let\u2019s list them using the roster notation.<\/p>\n\n\n\n<p>$P = \\left\\{3,\\; 5,\\; 7,\\; 9\\right\\}$<\/p>\n\n\n\n<p>In the set P, there are 4 elements. Let\u2019s list them using the roster notation.<\/p>\n\n\n\n<p>$Q = \\left\\{M,\\; N,\\; P,\\; Q\\right\\}$<\/p>\n\n\n\n<p><strong>3. Draw the Venn diagram for the given sets.<\/strong><\/p>\n\n\n\n<p>$A = \\left\\{Orange,\\; Red,\\; Blue,\\; Pink\\right\\}$&nbsp;<\/p>\n\n\n\n<p>$B = \\left\\{Peacock,\\; Pigeon,\\; Ostrich,\\; Flamingo\\right\\}$<\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>$A = \\left\\{Orange,\\; Red,\\; Blue,\\; Pink\\right\\}$&nbsp;<\/p>\n\n\n\n<p>$B = \\left\\{Peacock,\\; Pigeon,\\; Ostrich,\\; Flamingo\\right\\}$<\/p>\n\n\n\n<p>Venn diagrams:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"294\" height=\"210\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/venn-diagram-based-on-given-roster-notation.png\" alt=\"Venn diagram based on given roster notation\" class=\"wp-image-33526\" title=\"Venn diagram based on given roster notation\"\/><\/figure>\n\n\n\n<p><strong>4. Express the set <\/strong>$P = \\left\\{p : p = 2k + 1,\\; 2 \\lt k \\lt 7\\right\\}$<strong> in the roster notation.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>$p = 2k + 1$<\/p>\n\n\n\n<p>When $k = 3,\\; p = 2 \\times 3 + 1 = 7$<\/p>\n\n\n\n<p>When $k = 4,\\; p = 2 \\times 4 + 1 = 9$<\/p>\n\n\n\n<p>When $k = 5,\\; p = 2 \\times 5 + 1 = 11$<\/p>\n\n\n\n<p>When $k = 6,\\; p = 2 \\times 6 + 1 = 13$<\/p>\n\n\n\n<p>$P = \\left\\{7,\\; 9,\\; 11,\\; 13\\right\\}$<\/p>\n\n\n\n<p><strong>5. Write the given set in the roster notation to the set builder notation.<\/strong><\/p>\n\n\n\n<p>$A = \\left\\{1,\\; 8,\\; 27,\\; 64,\\; 125, \u2026\\right\\}$<\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>$A = \\left\\{1,\\; 8,\\; 27,\\; 64,\\; 125, \u2026\\right\\}$<\/p>\n\n\n\n<p>Here, we have a set of cubes of natural numbers.<\/p>\n\n\n\n<p>$A = \\left\\{x^{3}\\; :\\; x \\in N \\right\\}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-practice-problems-on-roster-notation\">Practice Problems on Roster Notation<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Roster Notation (Roster Form of Set): Meaning, Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Identify the roster form for the set of vowels in the word MATHEMATICS.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\left\\{A,\\; E,\\; I,\\; O,\\; U\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\left\\{M,\\; A,\\; T,\\; H,\\; E,\\; C,\\; I,\\; S\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\left\\{A,\\; E,\\; I\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\left\\{A,\\; I\\right\\}$<\/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: $\\left\\{A,\\; E,\\; I\\right\\}$<br\/>Vowels in the word MATHEMATICS are A, E, and I.<br>\r\nNote that repetition is not allowed in sets.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">The roster form for the first three positive multiples of 9 is<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\left\\{9,\\; 90,\\; 900\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\left\\{9, \\;18, \\;27\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\left\\{9,\\; 81,\\; 729\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\left\\{1,\\; 3,\\; 9\\right\\}$<\/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: $\\left\\{9, \\;18, \\;27\\right\\}$<br\/>$1 \\times 9 = 9$<br>\r\n$2 \\times 9 = 18$<br>\r\n$3 \\times 9 = 27$<br>\r\n$A = \\left\\{9,\\; 18,\\; 27\\right\\}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">The set $B = \\left\\{y \\;:\\; y = 3n^{2},\\;-\\;3 \\le n \\le 0\\right\\}$ can be written in the roster notation as<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\left\\{27, \\;12, \\;3, \\;0\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\left\\{12,\\; 3\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\left\\{48,\\; 27,\\; 12,\\; 3,\\; 0\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\left\\{27,\\; 12,\\; 3,\\; 0, \u2026\u2026\\right\\}$<\/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: $\\left\\{27, \\;12, \\;3, \\;0\\right\\}$<br\/>$-\\;3 \\le n \\le 0$<br>\r\nPossible values of n are $n = \\;-\\;3,\\;-\\;2,\\;-\\;1,\\;0$<br>\r\nWhen $n = \\;\u2013\\; 3$, we have $y = 3(\\;-\\;3)^{2} = 27$<br>\r\nWhen $n = \\;\u2013\\; 2$, we have $y = 3(\\;-\\;2)^{2} = 12$<br>\r\nWhen $n = \\;\u2013\\; 1$, we have $y = 3(\\;-\\;1)^{2} = 3$<br>\r\nWhen $n = 0$, we have $y = 3(\\;-\\;3)^{2} = 0$\r\n$B = \\left\\{27, \\;12,\\; 3,\\; 0\\right\\}$<\/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\">The correct roster form for the sets in the following Venn diagram is:<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/venn-diagram-for-three-sets-A-B-and-C.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">$A = \\left\\{2\\right\\}, B = \\left\\{3,\\; 4,\\; 6,\\; 11\\right\\}, C = \\left\\{y,\\; z\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$A = \\left\\{2\\right\\},\\; C = \\left\\{3,\\; 4,\\; 5,\\; 11\\right\\},\\; B = \\left\\{x, y, z\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$A = \\left\\{2\\right\\},\\; C = \\left\\{3,\\; 4,\\; 5,\\; 6,\\; 11\\right\\},\\; A = \\left\\{x,\\; y\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$A = \\left\\{2\\right\\},\\; B = \\left\\{3,\\; 4,\\; 5,\\; 6,\\; 11\\right\\},\\; C = \\left\\{x,\\; y,\\; z\\right\\}$<\/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: $A = \\left\\{2\\right\\}, B = \\left\\{3,\\; 4,\\; 6,\\; 11\\right\\}, C = \\left\\{y,\\; z\\right\\}$<br\/>$A = \\left\\{2\\right\\}$\r\n$B = \\left\\{3,\\; 4,\\; 5,\\; 6,\\; 11\\right\\}$\r\n$C = \\left\\{x,\\; y,\\; z\\right\\}$<\/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\": \"Roster Notation (Roster Form of Set): Meaning, Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Roster Notation\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Identify the roster form for the set of vowels in the word MATHEMATICS.\",\n                    \"text\": \"Identify the roster form for the set of vowels in the word MATHEMATICS.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Vowels in the word MATHEMATICS are A, E, and I.<br>\r\nNote that repetition is not allowed in sets.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\left\\\\{A,\\\\; E,\\\\; I,\\\\; O,\\\\; U\\\\right\\\\}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Vowels in the word MATHEMATICS are A, E, and I.<br>\r\nNote that repetition is not allowed in sets.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\left\\\\{M,\\\\; A,\\\\; T,\\\\; H,\\\\; E,\\\\; C,\\\\; I,\\\\; S\\\\right\\\\}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Vowels in the word MATHEMATICS are A, E, and I.<br>\r\nNote that repetition is not allowed in sets.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\left\\\\{A,\\\\; I\\\\right\\\\}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Vowels in the word MATHEMATICS are A, E, and I.<br>\r\nNote that repetition is not allowed in sets.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\left\\\\{A,\\\\; E,\\\\; I\\\\right\\\\}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Vowels in the word MATHEMATICS are A, E, and I.<br>\r\nNote that repetition is not allowed in sets.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Vowels in the word MATHEMATICS are A, E, and I.<br>\r\nNote that repetition is not allowed in sets.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The roster form for the first three positive multiples of 9 is\",\n                    \"text\": \"The roster form for the first three positive multiples of 9 is\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$1 \\\\times 9 = 9$$<br>\r\n$$2 \\\\times 9 = 18$$<br>\r\n$$3 \\\\times 9 = 27$$<br>\r\n$$A = \\\\left\\\\{9,\\\\; 18,\\\\; 27\\\\right\\\\}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\left\\\\{9,\\\\; 90,\\\\; 900\\\\right\\\\}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$1 \\\\times 9 = 9$$<br>\r\n$$2 \\\\times 9 = 18$$<br>\r\n$$3 \\\\times 9 = 27$$<br>\r\n$$A = \\\\left\\\\{9,\\\\; 18,\\\\; 27\\\\right\\\\}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\left\\\\{9,\\\\; 81,\\\\; 729\\\\right\\\\}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$1 \\\\times 9 = 9$$<br>\r\n$$2 \\\\times 9 = 18$$<br>\r\n$$3 \\\\times 9 = 27$$<br>\r\n$$A = \\\\left\\\\{9,\\\\; 18,\\\\; 27\\\\right\\\\}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\left\\\\{1,\\\\; 3,\\\\; 9\\\\right\\\\}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$1 \\\\times 9 = 9$$<br>\r\n$$2 \\\\times 9 = 18$$<br>\r\n$$3 \\\\times 9 = 27$$<br>\r\n$$A = \\\\left\\\\{9,\\\\; 18,\\\\; 27\\\\right\\\\}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\left\\\\{9, \\\\;18, \\\\;27\\\\right\\\\}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$1 \\\\times 9 = 9$$<br>\r\n$$2 \\\\times 9 = 18$$<br>\r\n$$3 \\\\times 9 = 27$$<br>\r\n$$A = \\\\left\\\\{9,\\\\; 18,\\\\; 27\\\\right\\\\}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$1 \\\\times 9 = 9$$<br>\r\n$$2 \\\\times 9 = 18$$<br>\r\n$$3 \\\\times 9 = 27$$<br>\r\n$$A = \\\\left\\\\{9,\\\\; 18,\\\\; 27\\\\right\\\\}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The set $$B = \\\\left\\\\{y \\\\;:\\\\; y = 3n^{2},\\\\;-\\\\;3 \\\\le n \\\\le 0\\\\right\\\\}$$ can be written in the roster notation as\",\n                    \"text\": \"The set $$B = \\\\left\\\\{y \\\\;:\\\\; y = 3n^{2},\\\\;-\\\\;3 \\\\le n \\\\le 0\\\\right\\\\}$$ can be written in the roster notation as\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$-\\\\;3 \\\\le n \\\\le 0$$<br>\r\nPossible values of n are $$n = \\\\;-\\\\;3,\\\\;-\\\\;2,\\\\;-\\\\;1,\\\\;0$$<br>\r\nWhen $$n = \\\\;\u2013\\\\; 3$$, we have $$y = 3(\\\\;-\\\\;3)^{2} = 27$$<br>\r\nWhen $$n = \\\\;\u2013\\\\; 2$$, we have $$y = 3(\\\\;-\\\\;2)^{2} = 12$$<br>\r\nWhen $$n = \\\\;\u2013\\\\; 1$$, we have $$y = 3(\\\\;-\\\\;1)^{2} = 3$$<br>\r\nWhen $$n = 0$$, we have $$y = 3(\\\\;-\\\\;3)^{2} = 0$$\r\n$$B = \\\\left\\\\{27, \\\\;12,\\\\; 3,\\\\; 0\\\\right\\\\}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\left\\\\{12,\\\\; 3\\\\right\\\\}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$-\\\\;3 \\\\le n \\\\le 0$$<br>\r\nPossible values of n are $$n = \\\\;-\\\\;3,\\\\;-\\\\;2,\\\\;-\\\\;1,\\\\;0$$<br>\r\nWhen $$n = \\\\;\u2013\\\\; 3$$, we have $$y = 3(\\\\;-\\\\;3)^{2} = 27$$<br>\r\nWhen $$n = \\\\;\u2013\\\\; 2$$, we have $$y = 3(\\\\;-\\\\;2)^{2} = 12$$<br>\r\nWhen $$n = \\\\;\u2013\\\\; 1$$, we have $$y = 3(\\\\;-\\\\;1)^{2} = 3$$<br>\r\nWhen $$n = 0$$, we have $$y = 3(\\\\;-\\\\;3)^{2} = 0$$\r\n$$B = \\\\left\\\\{27, \\\\;12,\\\\; 3,\\\\; 0\\\\right\\\\}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\left\\\\{48,\\\\; 27,\\\\; 12,\\\\; 3,\\\\; 0\\\\right\\\\}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$-\\\\;3 \\\\le n \\\\le 0$$<br>\r\nPossible values of n are $$n = \\\\;-\\\\;3,\\\\;-\\\\;2,\\\\;-\\\\;1,\\\\;0$$<br>\r\nWhen $$n = \\\\;\u2013\\\\; 3$$, we have $$y = 3(\\\\;-\\\\;3)^{2} = 27$$<br>\r\nWhen $$n = \\\\;\u2013\\\\; 2$$, we have $$y = 3(\\\\;-\\\\;2)^{2} = 12$$<br>\r\nWhen $$n = \\\\;\u2013\\\\; 1$$, we have $$y = 3(\\\\;-\\\\;1)^{2} = 3$$<br>\r\nWhen $$n = 0$$, we have $$y = 3(\\\\;-\\\\;3)^{2} = 0$$\r\n$$B = \\\\left\\\\{27, \\\\;12,\\\\; 3,\\\\; 0\\\\right\\\\}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\left\\\\{27,\\\\; 12,\\\\; 3,\\\\; 0, \u2026\u2026\\\\right\\\\}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$-\\\\;3 \\\\le n \\\\le 0$$<br>\r\nPossible values of n are $$n = \\\\;-\\\\;3,\\\\;-\\\\;2,\\\\;-\\\\;1,\\\\;0$$<br>\r\nWhen $$n = \\\\;\u2013\\\\; 3$$, we have $$y = 3(\\\\;-\\\\;3)^{2} = 27$$<br>\r\nWhen $$n = \\\\;\u2013\\\\; 2$$, we have $$y = 3(\\\\;-\\\\;2)^{2} = 12$$<br>\r\nWhen $$n = \\\\;\u2013\\\\; 1$$, we have $$y = 3(\\\\;-\\\\;1)^{2} = 3$$<br>\r\nWhen $$n = 0$$, we have $$y = 3(\\\\;-\\\\;3)^{2} = 0$$\r\n$$B = \\\\left\\\\{27, \\\\;12,\\\\; 3,\\\\; 0\\\\right\\\\}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\left\\\\{27, \\\\;12, \\\\;3, \\\\;0\\\\right\\\\}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$-\\\\;3 \\\\le n \\\\le 0$$<br>\r\nPossible values of n are $$n = \\\\;-\\\\;3,\\\\;-\\\\;2,\\\\;-\\\\;1,\\\\;0$$<br>\r\nWhen $$n = \\\\;\u2013\\\\; 3$$, we have $$y = 3(\\\\;-\\\\;3)^{2} = 27$$<br>\r\nWhen $$n = \\\\;\u2013\\\\; 2$$, we have $$y = 3(\\\\;-\\\\;2)^{2} = 12$$<br>\r\nWhen $$n = \\\\;\u2013\\\\; 1$$, we have $$y = 3(\\\\;-\\\\;1)^{2} = 3$$<br>\r\nWhen $$n = 0$$, we have $$y = 3(\\\\;-\\\\;3)^{2} = 0$$\r\n$$B = \\\\left\\\\{27, \\\\;12,\\\\; 3,\\\\; 0\\\\right\\\\}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$-\\\\;3 \\\\le n \\\\le 0$$<br>\r\nPossible values of n are $$n = \\\\;-\\\\;3,\\\\;-\\\\;2,\\\\;-\\\\;1,\\\\;0$$<br>\r\nWhen $$n = \\\\;\u2013\\\\; 3$$, we have $$y = 3(\\\\;-\\\\;3)^{2} = 27$$<br>\r\nWhen $$n = \\\\;\u2013\\\\; 2$$, we have $$y = 3(\\\\;-\\\\;2)^{2} = 12$$<br>\r\nWhen $$n = \\\\;\u2013\\\\; 1$$, we have $$y = 3(\\\\;-\\\\;1)^{2} = 3$$<br>\r\nWhen $$n = 0$$, we have $$y = 3(\\\\;-\\\\;3)^{2} = 0$$\r\n$$B = \\\\left\\\\{27, \\\\;12,\\\\; 3,\\\\; 0\\\\right\\\\}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The correct roster form for the sets in the following Venn diagram is:\",\n                    \"text\": \"The correct roster form for the sets in the following Venn diagram is: <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/venn-diagram-for-three-sets-A-B-and-C.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$A = \\\\left\\\\{2\\\\right\\\\}$$\r\n$$B = \\\\left\\\\{3,\\\\; 4,\\\\; 5,\\\\; 6,\\\\; 11\\\\right\\\\}$$\r\n$$C = \\\\left\\\\{x,\\\\; y,\\\\; z\\\\right\\\\}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$A = \\\\left\\\\{2\\\\right\\\\},\\\\; C = \\\\left\\\\{3,\\\\; 4,\\\\; 5,\\\\; 11\\\\right\\\\},\\\\; B = \\\\left\\\\{x, y, z\\\\right\\\\}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$A = \\\\left\\\\{2\\\\right\\\\}$$\r\n$$B = \\\\left\\\\{3,\\\\; 4,\\\\; 5,\\\\; 6,\\\\; 11\\\\right\\\\}$$\r\n$$C = \\\\left\\\\{x,\\\\; y,\\\\; z\\\\right\\\\}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$A = \\\\left\\\\{2\\\\right\\\\},\\\\; C = \\\\left\\\\{3,\\\\; 4,\\\\; 5,\\\\; 6,\\\\; 11\\\\right\\\\},\\\\; A = \\\\left\\\\{x,\\\\; y\\\\right\\\\}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$A = \\\\left\\\\{2\\\\right\\\\}$$\r\n$$B = \\\\left\\\\{3,\\\\; 4,\\\\; 5,\\\\; 6,\\\\; 11\\\\right\\\\}$$\r\n$$C = \\\\left\\\\{x,\\\\; y,\\\\; z\\\\right\\\\}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$A = \\\\left\\\\{2\\\\right\\\\},\\\\; B = \\\\left\\\\{3,\\\\; 4,\\\\; 5,\\\\; 6,\\\\; 11\\\\right\\\\},\\\\; C = \\\\left\\\\{x,\\\\; y,\\\\; z\\\\right\\\\}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$A = \\\\left\\\\{2\\\\right\\\\}$$\r\n$$B = \\\\left\\\\{3,\\\\; 4,\\\\; 5,\\\\; 6,\\\\; 11\\\\right\\\\}$$\r\n$$C = \\\\left\\\\{x,\\\\; y,\\\\; z\\\\right\\\\}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$A = \\\\left\\\\{2\\\\right\\\\}, B = \\\\left\\\\{3,\\\\; 4,\\\\; 6,\\\\; 11\\\\right\\\\}, C = \\\\left\\\\{y,\\\\; z\\\\right\\\\}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$A = \\\\left\\\\{2\\\\right\\\\}$$\r\n$$B = \\\\left\\\\{3,\\\\; 4,\\\\; 5,\\\\; 6,\\\\; 11\\\\right\\\\}$$\r\n$$C = \\\\left\\\\{x,\\\\; y,\\\\; z\\\\right\\\\}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$A = \\\\left\\\\{2\\\\right\\\\}$$\r\n$$B = \\\\left\\\\{3,\\\\; 4,\\\\; 5,\\\\; 6,\\\\; 11\\\\right\\\\}$$\r\n$$C = \\\\left\\\\{x,\\\\; y,\\\\; z\\\\right\\\\}$$\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-frequently-asked-questions-about-roster-notation\">Frequently Asked Questions about Roster Notation<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-b7b68955-ae3a-4d53-aab4-7cc9d7243e71\" 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-b7b68955-ae3a-4d53-aab4-7cc9d7243e71\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b7b68955-ae3a-4d53-aab4-7cc9d7243e71\"><strong>What is a singleton 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-0-b7b68955-ae3a-4d53-aab4-7cc9d7243e71\">\n\n<p>A set having a single element is called 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-1-b7b68955-ae3a-4d53-aab4-7cc9d7243e71\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b7b68955-ae3a-4d53-aab4-7cc9d7243e71\"><strong>How do you represent a null set in roster form?<\/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-b7b68955-ae3a-4d53-aab4-7cc9d7243e71\">\n\n<p>Null set is a set which does not have any element. The null set can be represented as {} in the roster form.<\/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-b7b68955-ae3a-4d53-aab4-7cc9d7243e71\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b7b68955-ae3a-4d53-aab4-7cc9d7243e71\"><strong>What is meant by the cardinality of the 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-b7b68955-ae3a-4d53-aab4-7cc9d7243e71\">\n\n<p>The cardinality of the set is the number of the elements in the set. If the set is A, then its cardinality is represented by n(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-3-b7b68955-ae3a-4d53-aab4-7cc9d7243e71\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b7b68955-ae3a-4d53-aab4-7cc9d7243e71\"><strong>What is interval notation?<\/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-b7b68955-ae3a-4d53-aab4-7cc9d7243e71\">\n\n<p>Interval notation is a method of writing the subsets of the real number line. For example: $P = \\left\\{x : \u2013 2 \\lt x \\lt 5\\right\\} = \\left( \\;\u2013\\; 2,\\; 5\\right)$<\/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-b7b68955-ae3a-4d53-aab4-7cc9d7243e71\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b7b68955-ae3a-4d53-aab4-7cc9d7243e71\"><strong>What is the meaning of set notation<\/strong>$\\in$ <strong>?<\/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-b7b68955-ae3a-4d53-aab4-7cc9d7243e71\">\n\n<p>Set Notation <strong><\/strong>means \u201cbelongs to.\u201d On the other hand, \u2209 means \u201cdoes not belong to.\u201d<\/p>\n\n\n\n<p>If $A = \\left\\{2,\\; 5,\\; 8,\\; 10\\right\\}$, then we can say that $2 \\in A,\\; 3 \\in A,\\; 5 \\in A$, and $10\\in A$.<\/p>\n\n\n\n<p>However, $1 \\notin A$.<\/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-5-b7b68955-ae3a-4d53-aab4-7cc9d7243e71\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b7b68955-ae3a-4d53-aab4-7cc9d7243e71\"><strong>What are the rules for the set roster notation?<\/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-b7b68955-ae3a-4d53-aab4-7cc9d7243e71\">\n\n<p>Elements are listed in a single row within curly brackets $\\left\\{ \\right\\}$. If the set contains more than one element, the elements are separated by a comma. The order of elements is not important.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is Roster Notation or Roster Form of a Set? Roster notation or the roster form of a set is represented using curly brackets with elements separated by comma.&nbsp; Here, the order of elements does not matter. This is a simple and straightforward way to represent a set by listing the elements within curly brackets. &#8230; <a title=\"Roster Notation (Roster Form of Set): Meaning, Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/roster-notation\" aria-label=\"More on Roster Notation (Roster Form of Set): Meaning, Examples\">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-33512","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\/33512","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=33512"}],"version-history":[{"count":12,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/33512\/revisions"}],"predecessor-version":[{"id":39943,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/33512\/revisions\/39943"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=33512"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=33512"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=33512"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}