{"id":9626,"date":"2022-01-18T00:26:51","date_gmt":"2022-01-17T18:56:51","guid":{"rendered":"https:\/\/mathemerize.com\/?p=9626"},"modified":"2022-01-18T00:26:54","modified_gmt":"2022-01-17T18:56:54","slug":"difference-of-sets-venn-diagram-and-examples","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/difference-of-sets-venn-diagram-and-examples\/","title":{"rendered":"Difference of Sets – Venn Diagram and Examples"},"content":{"rendered":"

Here you will learn what is the difference of two sets with venn diagram and examples.<\/p>\n

Let’s begin –<\/p>\n

What is Difference of Two Sets ?<\/h2>\n

Definition<\/strong> : Let A and B be two sets. The difference of A and B, written as A – B, is the set of all those elements of A which do not belong to B.<\/p>\n

Thus,\u00a0 A – B = {x : x \\(\\in\\) A and x \\(\\in\\) B}<\/p>\n

or,\u00a0 A – B = {x \\(\\in\\) A : x \\(\\notin\\) B}.<\/p>\n

Clearly, x \\(\\in\\) A – B\u00a0 \\(iff\\)\u00a0 x \\(\\in\\) A\u00a0 and x \\(\\notin\\) B.<\/p>\n

Similarly, the difference B – A is the set of all those elements of B that do not belong to A i.e.<\/p>\n

B – A = {x \\(\\in\\) B : x \\(\\notin\\) A}<\/p>\n

In the diagram given below, the coloured part shows A – B and B – A, which is the difference of two set.<\/p>\n

Also Read<\/strong> : Formulas and Operation of Sets<\/a><\/p>\n

Venn Diagram :<\/h2>\n

\"difference<\/p>\n

Example<\/strong><\/span> : If A = {2, 3, 4, 5, 6, 7} and B = {3, 5, 7, 9, 11, 13}, then find the difference A – B and B – A.<\/p>\n

Solution<\/strong><\/span> : We have sets A and B.<\/p>\n

Then, A – B = {2, 4, 6}<\/p>\n

And B – A = {9, 11, 13}.<\/p>\n","protected":false},"excerpt":{"rendered":"

Here you will learn what is the difference of two sets with venn diagram and examples. Let’s begin – What is Difference of Two Sets ? Definition : Let A and B be two sets. The difference of A and B, written as A – B, is the set of all those elements of A …<\/p>\n

Difference of Sets – Venn Diagram and Examples<\/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":[769,591,768],"yoast_head":"\nDifference of Sets - Venn Diagram and Examples<\/title>\n<meta name=\"description\" content=\"In this post you will learn what is the difference of two sets with venn diagram and 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\/difference-of-sets-venn-diagram-and-examples\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Difference of Sets - 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