{"id":6034,"date":"2021-10-04T23:24:27","date_gmt":"2021-10-04T17:54:27","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6034"},"modified":"2021-10-04T23:25:32","modified_gmt":"2021-10-04T17:55:32","slug":"relations-examples","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/relations-examples\/","title":{"rendered":"Relations Examples"},"content":{"rendered":"

Here you will learn some relations examples for better understanding of relation concepts<\/a><\/span>.<\/p>\n\n\n

\n
\n\n \n

Example 1 : <\/span> If A = {2, 4} and B = {3, 4, 5} then (A \\(\\cap\\) B) \\(\\times\\) (A \\(\\cup\\) B)<\/p>\n

Solution : <\/span>(A \\(\\cap\\) B) = {4} and (A \\(\\cup\\) B) = {2, 3, 4, 5}

\\(\\therefore\\) (A \\(\\cap\\) B) \\(\\times\\) (A \\(\\cup\\) B) = {(4, 2), (4, 3), (4, 4), (4, 5)}<\/p>\n


\n\n \n

Example 2 : <\/span>If n(A) = 7 , n(B) = 8 and n(A \\(\\cap\\) B) = 4,then find-

(i)     n(A \\(\\cup\\) B)

(ii)     n(A \\(\\times B\\)

(iii)     n((B \\(\\times\\) A)\\(\\times\\) A)

(iv)     n((A \\(\\times\\) B) \\(\\cap\\) (B \\(\\times\\) A))

(v)     n((A \\(\\times\\) B) \\(\\cup\\) (B \\(\\times\\) A))<\/p>\n

Solution : <\/span>(i)     11

(ii)     7 \\(\\times\\) 8 = 56

\n (iii)     56 \\(\\times\\) 7 = 392

\n (iv)     16

(v)     56 + 56 – 16 = 96\n <\/p>


\n\n \n

Example 3 : <\/span> If N is a set of first 10 natural numbers and a relation R is defined as a + 2b = 10 where a, b \\(\\in\\) N. find inverse of R.<\/p>\n

Solution : <\/span>R = {(2, 4), (4, 3), (6, 2), (8, 1)}

\\(R^{-1}\\) = {(4, 2), (3, 4), (2, 6), (1, 8)}<\/p>\n
\n

Practice these given relations examples to test your knowledge on concepts of relations.<\/p>\n <\/div>\n <\/div>\n","protected":false},"excerpt":{"rendered":"

Here you will learn some relations examples for better understanding of relation concepts. Example 1 : If A = {2, 4} and B = {3, 4, 5} then (A \\(\\cap\\) B) \\(\\times\\) (A \\(\\cup\\) B) Solution : (A \\(\\cap\\) B) = {4} and (A \\(\\cup\\) B) = {2, 3, 4, 5} \\(\\therefore\\) (A \\(\\cap\\) B) …<\/p>\n

Relations Examples<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","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":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[17],"tags":[],"yoast_head":"\nRelations Examples - Mathemerize<\/title>\n<meta name=\"description\" content=\"Solve these Relations examples to practice and test your knowledge of Relations concepts.\" \/>\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\/relations-examples\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Relations Examples - Mathemerize\" \/>\n<meta property=\"og:description\" content=\"Solve these Relations examples to practice and test your knowledge of Relations concepts.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathemerize.com\/relations-examples\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathemerize\" \/>\n<meta property=\"article:published_time\" content=\"2021-10-04T17:54:27+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-10-04T17:55:32+00:00\" \/>\n<meta name=\"author\" content=\"mathemerize\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"mathemerize\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathemerize.com\/relations-examples\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathemerize.com\/relations-examples\/\"},\"author\":{\"name\":\"mathemerize\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df\"},\"headline\":\"Relations Examples\",\"datePublished\":\"2021-10-04T17:54:27+00:00\",\"dateModified\":\"2021-10-04T17:55:32+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathemerize.com\/relations-examples\/\"},\"wordCount\":166,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathemerize.com\/#organization\"},\"articleSection\":[\"Relation\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathemerize.com\/relations-examples\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathemerize.com\/relations-examples\/\",\"url\":\"https:\/\/mathemerize.com\/relations-examples\/\",\"name\":\"Relations Examples - Mathemerize\",\"isPartOf\":{\"@id\":\"https:\/\/mathemerize.com\/#website\"},\"datePublished\":\"2021-10-04T17:54:27+00:00\",\"dateModified\":\"2021-10-04T17:55:32+00:00\",\"description\":\"Solve these Relations examples to practice and test your knowledge of Relations concepts.\",\"breadcrumb\":{\"@id\":\"https:\/\/mathemerize.com\/relations-examples\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathemerize.com\/relations-examples\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathemerize.com\/relations-examples\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathemerize.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Relations Examples\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathemerize.com\/#website\",\"url\":\"https:\/\/mathemerize.com\/\",\"name\":\"Mathemerize\",\"description\":\"Maths Tutorials - Study Math Online\",\"publisher\":{\"@id\":\"https:\/\/mathemerize.com\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathemerize.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathemerize.com\/#organization\",\"name\":\"Mathemerize\",\"url\":\"https:\/\/mathemerize.com\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/i1.wp.com\/mathemerize.com\/wp-content\/uploads\/2021\/05\/logo.png?fit=140%2C96&ssl=1\",\"contentUrl\":\"https:\/\/i1.wp.com\/mathemerize.com\/wp-content\/uploads\/2021\/05\/logo.png?fit=140%2C96&ssl=1\",\"width\":140,\"height\":96,\"caption\":\"Mathemerize\"},\"image\":{\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.instagram.com\/mathemerize\/\"]},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df\",\"name\":\"mathemerize\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/f0649d8b9c9f4ba7f1682b12d040d2a3?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/f0649d8b9c9f4ba7f1682b12d040d2a3?s=96&d=mm&r=g\",\"caption\":\"mathemerize\"},\"sameAs\":[\"https:\/\/mathemerize.com\"],\"url\":\"https:\/\/mathemerize.com\/author\/mathemerize\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Relations Examples - Mathemerize","description":"Solve these Relations examples to practice and test your knowledge of Relations concepts.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathemerize.com\/relations-examples\/","og_locale":"en_US","og_type":"article","og_title":"Relations Examples - Mathemerize","og_description":"Solve these Relations examples to practice and test your knowledge of Relations concepts.","og_url":"https:\/\/mathemerize.com\/relations-examples\/","og_site_name":"Mathemerize","article_published_time":"2021-10-04T17:54:27+00:00","article_modified_time":"2021-10-04T17:55:32+00:00","author":"mathemerize","twitter_card":"summary_large_image","twitter_misc":{"Written by":"mathemerize","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathemerize.com\/relations-examples\/#article","isPartOf":{"@id":"https:\/\/mathemerize.com\/relations-examples\/"},"author":{"name":"mathemerize","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df"},"headline":"Relations Examples","datePublished":"2021-10-04T17:54:27+00:00","dateModified":"2021-10-04T17:55:32+00:00","mainEntityOfPage":{"@id":"https:\/\/mathemerize.com\/relations-examples\/"},"wordCount":166,"commentCount":0,"publisher":{"@id":"https:\/\/mathemerize.com\/#organization"},"articleSection":["Relation"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathemerize.com\/relations-examples\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathemerize.com\/relations-examples\/","url":"https:\/\/mathemerize.com\/relations-examples\/","name":"Relations Examples - Mathemerize","isPartOf":{"@id":"https:\/\/mathemerize.com\/#website"},"datePublished":"2021-10-04T17:54:27+00:00","dateModified":"2021-10-04T17:55:32+00:00","description":"Solve these Relations examples to practice and test your knowledge of Relations concepts.","breadcrumb":{"@id":"https:\/\/mathemerize.com\/relations-examples\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathemerize.com\/relations-examples\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathemerize.com\/relations-examples\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathemerize.com\/"},{"@type":"ListItem","position":2,"name":"Relations Examples"}]},{"@type":"WebSite","@id":"https:\/\/mathemerize.com\/#website","url":"https:\/\/mathemerize.com\/","name":"Mathemerize","description":"Maths Tutorials - Study Math Online","publisher":{"@id":"https:\/\/mathemerize.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathemerize.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/mathemerize.com\/#organization","name":"Mathemerize","url":"https:\/\/mathemerize.com\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/mathemerize.com\/#\/schema\/logo\/image\/","url":"https:\/\/i1.wp.com\/mathemerize.com\/wp-content\/uploads\/2021\/05\/logo.png?fit=140%2C96&ssl=1","contentUrl":"https:\/\/i1.wp.com\/mathemerize.com\/wp-content\/uploads\/2021\/05\/logo.png?fit=140%2C96&ssl=1","width":140,"height":96,"caption":"Mathemerize"},"image":{"@id":"https:\/\/mathemerize.com\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.instagram.com\/mathemerize\/"]},{"@type":"Person","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df","name":"mathemerize","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/f0649d8b9c9f4ba7f1682b12d040d2a3?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/f0649d8b9c9f4ba7f1682b12d040d2a3?s=96&d=mm&r=g","caption":"mathemerize"},"sameAs":["https:\/\/mathemerize.com"],"url":"https:\/\/mathemerize.com\/author\/mathemerize\/"}]}},"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts\/6034"}],"collection":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/comments?post=6034"}],"version-history":[{"count":4,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts\/6034\/revisions"}],"predecessor-version":[{"id":6038,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts\/6034\/revisions\/6038"}],"wp:attachment":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/media?parent=6034"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/categories?post=6034"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/tags?post=6034"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}