{"id":9511,"date":"2022-01-15T22:45:00","date_gmt":"2022-01-15T17:15:00","guid":{"rendered":"https:\/\/mathemerize.com\/?p=9511"},"modified":"2022-01-16T17:15:49","modified_gmt":"2022-01-16T11:45:49","slug":"equal-sets-and-equivalent-sets-definition-example","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/equal-sets-and-equivalent-sets-definition-example\/","title":{"rendered":"Equal Sets and Equivalent Sets – Definition and Example"},"content":{"rendered":"

Here you will learn definition of equal sets and equivalent sets with examples.<\/p>\n

Let’s begin –<\/p>\n

Equal Sets and Equivalent Sets<\/h2>\n

(i) Equal Sets<\/strong> :<\/h4>\n

Two finite sets A and B are equivalent if their cardinal numbers are same i.e. n(A) = n(B).<\/p>\n

Where cardinal number means numbers of elements in a set.<\/p>\n

(ii) Equivalent Sets :<\/strong><\/h4>\n

Two sets A and B are said to be equal if every element of A is a member of B, and every element of B is a member of A.<\/p>\n

If sets A and B are equal, we write A = B and A \\(\\ne\\) B when A and B are not equal.<\/p>\n

If A = {1, 2, 5, 6} and B = {5, 6, 2, 1}. Then A = B, because each element of A is an element of B and vice-versa. Note that the elements of a set may be listed in any order.<\/p>\n

For Example<\/strong><\/span> : Let A = {1, 2, 3} and B = {a, b, c}<\/p>\n

Then set A and set B are equivalent sets because n(A) = n(B) = 3. But not equal sets.<\/p>\n","protected":false},"excerpt":{"rendered":"

Here you will learn definition of equal sets and equivalent sets with examples. Let’s begin – Equal Sets and Equivalent Sets (i) Equal Sets : Two finite sets A and B are equivalent if their cardinal numbers are same i.e. n(A) = n(B). Where cardinal number means numbers of elements in a set. (ii) Equivalent …<\/p>\n

Equal Sets and Equivalent Sets – Definition and Example<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[16],"tags":[747,748,746],"yoast_head":"\nEqual Sets and Equivalent Sets - Definition and Example<\/title>\n<meta name=\"description\" content=\"In this post you will learn definition of equal sets and equivalent sets with examples based on it.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/equal-sets-and-equivalent-sets-definition-example\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Equal Sets and Equivalent Sets - 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