{"id":34074,"date":"2023-09-16T17:50:53","date_gmt":"2023-09-16T17:50:53","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=34074"},"modified":"2023-09-16T18:05:15","modified_gmt":"2023-09-16T18:05:15","slug":"superset-in-maths-definition-symbol-properties-example","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/superset","title":{"rendered":"Superset in Maths: Definition, Symbol, Properties, Example"},"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-a7fbcbbe-a425-4c5a-80dc-8d6f7c65604b\" 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\/superset#0-what-is-a-superset>What Is a Superset?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/superset#5-properties-of-superset>Properties of Superset<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/superset#6-difference-between-superset-and-subset>Difference between Superset and Subset<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/superset#9-solved-examples-on-superset>Solved Examples on Superset<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/superset#10-practice-problems-on-superset>Practice Problems on Superset<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/superset#11-frequently-asked-questions-about-superset>Frequently Asked Questions about Superset<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-a-superset\">What Is a Superset?<\/h2>\n\n\n\n<p>We call set B a superset of set A if B contains all the elements of A. In other words, if A is a subset of B, then B is the superset of A.<\/p>\n\n\n\n<p>We know that set A is called a subset of set B if all the elements of A are present in B. Then what does superset mean? Let\u2019s understand this with a Venn diagram.<\/p>\n\n\n\n<p>In the following figure, set B contains set A.&nbsp;<\/p>\n\n\n\n<p>A is a subset of B.&nbsp;<\/p>\n\n\n\n<p>B is a superset of A.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"473\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/b-is-a-superset-of-a.png\" alt=\"B is a superset of A\" class=\"wp-image-34080\" title=\"B is a superset of A\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/b-is-a-superset-of-a.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/b-is-a-superset-of-a-300x229.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"1-superset-meaning\">Superset Meaning<\/h2>\n\n\n\n<p>In mathematics, a superset is a set that consists entirely of the elements of the smaller set. If P is the superset of Q, we can infer that Q is the smaller set and P contains all elements of Q.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"2-superset-definition\">Superset Definition<\/h2>\n\n\n\n<p><strong>A superset of a given set is a set that contains all the elements of the given set.<\/strong><\/p>\n\n\n\n<p>If B is a superset of A, then A is a subset of B.<\/p>\n\n\n\n<p><strong>Example: <\/strong>A = {1, 2}, B= {1, 2, 3, 4, 5}<\/p>\n\n\n\n<p>B contains all the elements of A.<\/p>\n\n\n\n<p>Thus, B is a superset of A.<\/p>\n\n\n\n<p>Also, A is a subset of B.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-what-is-a-proper-superset\">What Is a Proper Superset?<\/h2>\n\n\n\n<p>The <strong>proper superset<\/strong> or a <strong>strict superset<\/strong> is a superset that contains all the elements of the smaller set but also has some extra elements of its own.&nbsp;<\/p>\n\n\n\n<p>If set B is the proper superset of set A, then all the elements of set A are in B, but set B must contain at least one element that is not present in set A.<\/p>\n\n\n\n<p>Suppose we have two sets:&nbsp;<\/p>\n\n\n\n<p>A={1, 3, 5}<\/p>\n\n\n\n<p>B={1, 3, 4, 5}<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"586\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/b-is-a-proper-superset-of-a.png\" alt=\"B is a Proper Superset of A\u00a0\" class=\"wp-image-34082\" title=\"B is a Proper Superset of A\u00a0\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/b-is-a-proper-superset-of-a.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/b-is-a-proper-superset-of-a-300x284.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Here, B is a superset of A.<\/p>\n\n\n\n<p>We can see that B is not exactly equal to A.&nbsp;<\/p>\n\n\n\n<p>B contains the element 4, which is not present in A.<\/p>\n\n\n\n<p>Such a superset is called a proper superset.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-superset-symbol\">Superset Symbol<\/h2>\n\n\n\n<p>The symbols &#8220;\u2283&#8221; or \u201c\u2287\u201d are used to denote the superset.&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>B \u2283 A means that B is a proper superset or a strict superset of set A such that A B (the sets are not equal.)<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>B \u2287 A means that B is a superset of A, but the possibility of A = B is also considered.&nbsp;<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-properties-of-superset\">Properties of Superset<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Empty set contains no elements. So, every set is a superset of the empty set.<\/li>\n<\/ul>\n\n\n\n<p>For any set A, we have&nbsp; A \u2283 \u2205.&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Every set is a superset of itself.<\/li>\n<\/ul>\n\n\n\n<p>For any set A, we have A \u2287 A.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>For the given two sets (P and Q), if P \u2282 Q, then P \u2283 Q is true, indicating that subset and superset are opposite to one another.<\/li>\n\n\n\n<li>If B is a superset of A, then<\/li>\n<\/ul>\n\n\n\n<p>A \u2229 B = A<\/p>\n\n\n\n<p>A \u222a B = B<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The cardinality of the superset is always greater than or equal to the other set.&nbsp;<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-difference-between-superset-and-subset\">Difference between Superset and Subset<\/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>Subset<\/strong><\/th><th class=\"has-text-align-left\" data-align=\"left\"><strong>Superset<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">If A is a subset of B, the set A is contained in B.<\/td><td class=\"has-text-align-left\" data-align=\"left\">If B is a superset of A, then B contains A.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">A \u2282 B means that A is a proper subset of A.<\/td><td class=\"has-text-align-left\" data-align=\"left\">B \u2283 A means that B is a proper or strict superset of A.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Subset is a smaller set compared to the other set.<\/td><td class=\"has-text-align-left\" data-align=\"left\">Superset is a bigger set compared to the other set.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">If A \u2282 B, then B \u2283 A.<\/td><td class=\"has-text-align-left\" data-align=\"left\">If B \u2283 A, then A \u2282 B.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">The empty set is a subset of every set.<\/td><td class=\"has-text-align-left\" data-align=\"left\">Every set is a superset of the empty set.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Every set is a subset of itself.<\/td><td class=\"has-text-align-left\" data-align=\"left\">Every set is a superset of itself.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-facts-on-superset\">Facts on Superset<\/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>A superset contains all the elements of the smaller set (it may or may not contain some extra elements as well.)<\/li>\n\n\n\n<li>The set of real numbers is a superset of the set of integers, the set of natural numbers, the set of rational numbers, the set of whole numbers.<\/li>\n\n\n\n<li>The set of <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/whole-numbers\">whole numbers<\/a> is a superset of the set of <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/natural-numbers\">natural numbers<\/a>.<br>N = {1, 2, 3, 4, \u2026}<br>W = {0, 1, 2, 3, 4, \u2026}<\/li>\n\n\n\n<li>If A \u2282 B and B \u2283 A, then A = B<\/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>A superset is a set that contains almost all of the components of a smaller set that it is composed of. We understand that if B is contained within A, then A includes B. The following solved examples and practice problems will further ease understanding of the concept of supersets.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-solved-examples-on-superset\">Solved Examples on Superset<\/h2>\n\n\n\n<p><strong>1<\/strong>.<strong> Let <\/strong><strong>Y= {1, 2, 3, 4, 5}<\/strong><strong> and <\/strong><strong>X= {1, 3, 5}<\/strong><strong>. Identify the superset.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Y= {1, 2, 3, 4, 5} and X={1, 3, 5}<\/p>\n\n\n\n<p>Every element of X is also an element of Y.&nbsp;<\/p>\n\n\n\n<p>The set Y contains the set X.<\/p>\n\n\n\n<p>Y \u2283 X<\/p>\n\n\n\n<p>Hence, Y is the proper superset of X.<\/p>\n\n\n\n<p><strong>2<\/strong>. <strong>E is the set of positive even integers. Write two supersets of E.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>E is the set of positive even integers.<\/p>\n\n\n\n<p>E = {2, 4, 6, 8, 10, \u2026}<\/p>\n\n\n\n<p>We know that the set of integers is given by<\/p>\n\n\n\n<p>Z = {&#8230;, -3, -2, -1,0, 1, 2, 3, 4, &#8230;}<\/p>\n\n\n\n<p>Thus, Z is a superset of E.<\/p>\n\n\n\n<p>The set of natural numbers is given by<\/p>\n\n\n\n<p>N = {1, 2, 3, 4, 5, \u2026}<\/p>\n\n\n\n<p>Thus, N is a superset of E.<\/p>\n\n\n\n<p><strong>3<\/strong>.<strong> Let P is a set of all polygons. Identify the sets for which P will be a superset.&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>i) Set of convex polygons<\/strong><\/p>\n\n\n\n<p><strong>ii) Set of quadrilaterals<\/strong><\/p>\n\n\n\n<p><strong>iv) Set of triangles&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>v) Set of circles<\/strong><\/p>\n\n\n\n<p><strong>vi) Set of 2D shapes<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>P is a set of all polygons.&nbsp;<\/p>\n\n\n\n<p>In geometry, a polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides. It does not have curved sides. Also, we need at least three sides to form a polygon.<\/p>\n\n\n\n<p>i) Set of convex polygons will be a subset of the set P. Thus, P is a superset of the set of convex polygons.<\/p>\n\n\n\n<p>ii) All quadrilaterals are polygons. So, the set P is a superset of the set of quadrilaterals.<\/p>\n\n\n\n<p>iii) Triangles are the polygons with three sides. So, P is a superset of the set of triangles.<\/p>\n\n\n\n<p>iv) Circles are not polygons since they are not formed by straight lines. Thus, P is not a superset of the set of circles.<\/p>\n\n\n\n<p>v) Polygons are 2D shapes, but 2D shapes contain polygons and many other shapes like circles. So, the set of polygons is a subset of the set of 2D shapes. The set of 2D shapes is a superset of the set of polygons.<\/p>\n\n\n\n<p><strong>4<\/strong>.<strong> If <\/strong><strong>A = {4, 5, 7, 8}<\/strong><strong> and <\/strong><strong>B = {4, 7, 8}<\/strong><strong>, justify why A is a proper superset of B.&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>A = {4, 5, 7, 8}<\/p>\n\n\n\n<p>B = {4, 7, 8}<\/p>\n\n\n\n<p>A is the proper superset of B because all elements of B are in A. The set A also has one extra element, 5, which is absent in B.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-practice-problems-on-superset\">Practice Problems on Superset<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Superset in Maths: Definition, Symbol, Properties, Example<\/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\">If set C is a proper superset of B, then ______.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$C \\subset B$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$C \\supset B$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$C \\supseteq B$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$C \\subseteq B$<\/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: $C \\supset B$<br\/>If C is a proper superset of B, then we represent it as $C \\supset B$. <\/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\">If X = {1, 2, 3}, Y= {}, Z = {1, 2}, then which of the following is true?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$X \\supset Z$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$Z \\supset Y$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$X \\supset Y$<\/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\/>Every set is a superset of the empty set.<br>\r\nAlso, here Z is a subset of X. Thus, X is a superset of Z.<\/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\">Which of the following statements is not true?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">The set of rational numbers is the superset of the set of real numbers.<\/div><div class=\"spq_answer_block\" data-value=\"1\">The set of whole numbers is the superset of the set of natural numbers.<\/div><div class=\"spq_answer_block\" data-value=\"2\">The set of integers is the subset of the set of rational numbers.<\/div><div class=\"spq_answer_block\" data-value=\"3\">The empty set is a subset of every set.<\/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: The set of rational numbers is the superset of the set of real numbers.<br\/>The set of real numbers is the superset of the set of rational numbers.<\/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\": \"Superset in Maths: Definition, Symbol, Properties, Example\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Superset in Maths\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    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Thus, X is a superset of Z.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$X \\\\supset Z$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Every set is a superset of the empty set.<br>\r\nAlso, here Z is a subset of X. Thus, X is a superset of Z.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$Z \\\\supset Y$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Every set is a superset of the empty set.<br>\r\nAlso, here Z is a subset of X. Thus, X is a superset of Z.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$X \\\\supset Y$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Every set is a superset of the empty set.<br>\r\nAlso, here Z is a subset of X. Thus, X is a superset of Z.\"\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\": \"Every set is a superset of the empty set.<br>\r\nAlso, here Z is a subset of X. Thus, X is a superset of Z.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Every set is a superset of the empty set.<br>\r\nAlso, here Z is a subset of X. Thus, X is a superset of Z.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following statements is not true?\",\n                    \"text\": \"Which of the following statements is not true?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The set of real numbers is the superset of the set of rational numbers.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"The set of whole numbers is the superset of the set of natural numbers.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The set of real numbers is the superset of the set of rational numbers.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"The set of integers is the subset of the set of rational numbers.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The set of real numbers is the superset of the set of rational numbers.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"The empty set is a subset of every set.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The set of real numbers is the superset of the set of rational numbers.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"The set of rational numbers is the superset of the set of real numbers.\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The set of real numbers is the superset of the set of rational numbers.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The set of real numbers is the superset of the set of rational numbers.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-frequently-asked-questions-about-superset\">Frequently Asked Questions about Superset<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-ba584e37-b69c-42f7-ac36-1296202ecda2\" 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-ba584e37-b69c-42f7-ac36-1296202ecda2\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ba584e37-b69c-42f7-ac36-1296202ecda2\"><strong>What is a proper 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-0-ba584e37-b69c-42f7-ac36-1296202ecda2\">\n\n<p>If A is a proper subset of B, then all the elements of A are present in B, but A is not equal to B (B contains at least one extra element).<\/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-ba584e37-b69c-42f7-ac36-1296202ecda2\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ba584e37-b69c-42f7-ac36-1296202ecda2\"><strong>What are the symbols for a superset and 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-1-ba584e37-b69c-42f7-ac36-1296202ecda2\">\n\n<p>The superset is denoted by the sign \u201c\u2283\u201d and the subset by the symbol \u201c\u2282.\u201d<\/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-ba584e37-b69c-42f7-ac36-1296202ecda2\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ba584e37-b69c-42f7-ac36-1296202ecda2\"><strong>What is 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-ba584e37-b69c-42f7-ac36-1296202ecda2\">\n\n<p>Universal set is a set that contains all the elements of all possible subsets under discussion.<\/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-ba584e37-b69c-42f7-ac36-1296202ecda2\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ba584e37-b69c-42f7-ac36-1296202ecda2\"><strong>Is every set a superset of 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-ba584e37-b69c-42f7-ac36-1296202ecda2\">\n\n<p>Yes, since a null set has no elements, we can say that every set is thought of as the superset of a null 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-4-ba584e37-b69c-42f7-ac36-1296202ecda2\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ba584e37-b69c-42f7-ac36-1296202ecda2\"><strong>Can a set be a superset of itself?<\/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-ba584e37-b69c-42f7-ac36-1296202ecda2\">\n\n<p>Yes, a set is always thought of as a superset of itself since every set has all of its own elements.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is a Superset? We call set B a superset of set A if B contains all the elements of A. In other words, if A is a subset of B, then B is the superset of A. We know that set A is called a subset of set B if all the elements of &#8230; <a title=\"Superset in Maths: Definition, Symbol, Properties, Example\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/superset\" aria-label=\"More on Superset in Maths: Definition, Symbol, Properties, Example\">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-34074","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\/34074","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=34074"}],"version-history":[{"count":7,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34074\/revisions"}],"predecessor-version":[{"id":34087,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34074\/revisions\/34087"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=34074"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=34074"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=34074"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}