Formulas and Operation of Sets<\/a><\/p>\nVenn Diagram :<\/h2>\n
![\"symmetric](\"https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/01\/symmetric-difference-e1642443862194-300x235.png?resize=300%2C235&ssl=1\")
<\/p>\n
The grey coloured region in the above figure represents \\(A \\Delta B\\).<\/p>\n
Example<\/strong><\/span> : If A = {1, 2, 3, 4, 5, 6, 7, 8} and B = {1, 3, 5, 6, 7, 8, 9}. then find \\(A \\Delta B\\).<\/p>\nSolution<\/strong><\/span> : We have sets A and B,<\/p>\nA – B = {2, 4} and B – A = {9}<\/p>\n
\\(\\therefore\\) \\(A \\Delta B\\) = (A – B) \\(\\cup\\) (B – A) = {2, 4, 9}<\/p>\n
Example<\/strong><\/span> : If A = {x \\(\\in\\) R : 0 < x < 3} and B = {x \\(\\in\\) R : 1 \\(\\le\\) x \\(\\le\\) 5}. then find \\(A \\Delta B\\).<\/p>\nSolution<\/strong><\/span> : We have sets A and B,<\/p>\nA – B = {x \\(\\in\\) R : 0 < x < 1}<\/p>\n
B – A = {x \\(\\in\\) R : 3 \\(\\le\\) x \\(\\le\\) 5}<\/p>\n
\\(\\therefore\\) \\(A \\Delta B\\) = (A – B) \\(\\cup\\) (B – A) = {x \\(\\in\\) R : 0 < x < 1} \\(\\cup\\) {x \\(\\in\\) R : 3 \\(\\le\\) x \\(\\le\\) 5}<\/p>\n
\\(\\implies\\) \\(A \\Delta B\\) = {x \\(\\in\\) R : 0 < x < 1 or 3 \\(\\le\\) x \\(\\le\\) 5}<\/p>\n","protected":false},"excerpt":{"rendered":"
Here you will learn what is the symmetric difference of two sets with venn diagram and examples. Let’s begin – Symmetric Difference of Two Sets Definition : Let A and B be two sets. The symmetric difference of sets A and B is the set (A – B) \\(\\cup\\) (B – A) and is denoted …<\/p>\n
Symmetric Difference of Two 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":[770,771],"yoast_head":"\nSymmetric Difference of Two Sets - Venn Diagram and Examples<\/title>\n<meta name=\"description\" content=\"In this post you will learn what is the symmetric 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\/symmetric-difference-of-two-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=\"Symmetric Difference of Two Sets - 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