{"id":154656,"date":"2022-03-25T23:46:37","date_gmt":"2022-03-25T18:16:37","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/equivalence-relation-meaning-examples-and-solved-examples\/"},"modified":"2023-01-10T18:04:08","modified_gmt":"2023-01-10T12:34:08","slug":"equivalence-relation-meaning-examples-and-solved-examples","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/equivalence-relation\/","title":{"rendered":"Equivalence Relation &#8211; Meaning, Examples and Solved Examples"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/equivalence-relation\/#What_are_Equivalence_Relations\" title=\"What are Equivalence Relations?\">What are Equivalence Relations?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/equivalence-relation\/#Connection_of_Equivalence_Relation\" title=\"Connection of Equivalence Relation\">Connection of Equivalence Relation<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/equivalence-relation\/#Connection_of_Equivalence_Relation_to_other_relations\" title=\"Connection of Equivalence Relation to other relations\">Connection of Equivalence Relation to other relations<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/equivalence-relation\/#A_Few_key_points_to_remember\" title=\"A Few key points to remember\">A Few key points to remember<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"What_are_Equivalence_Relations\"><\/span>What are Equivalence Relations?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>An equivalence relation is a binary relation that is reflexive, symmetric, and transitive. Reflexive means that for every element in the set, the relation holds between that element and itself. Symmetric means that for every pair of elements in the set, if the relation holds between them, it also holds between the inverse of those elements. Transitive means that if the relation holds between two elements and between those elements and a third element, it also holds between the first two elements.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-154655 size-medium\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/equivalence-relation-meaning-examples-and-solved-examples-300x212.jpg\" alt=\"Equivalence Relation - Meaning, Examples and Solved Examples\" width=\"300\" height=\"212\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/equivalence-relation-meaning-examples-and-solved-examples-300x212.jpg?v=1648232194 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/equivalence-relation-meaning-examples-and-solved-examples.jpg?v=1648232194 606w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Connection_of_Equivalence_Relation\"><\/span>Connection of Equivalence Relation<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>An equivalence relation is a binary relation on a set that is reflexive, symmetric, and transitive. Reflexivity means that for every element in the set, the relation holds between that element and itself. Symmetry means that for every two elements in the set, if the relation holds between them, it also holds between their inverses. Transitivity means that if the relation holds between three elements in the set, it also holds between any two of those three elements.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Connection_of_Equivalence_Relation_to_other_relations\"><\/span>Connection of Equivalence Relation to other relations<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The equivalence relation is a binary relation that is reflexive, symmetric, and transitive. Reflexivity means that each element in the set is related to itself. Symmetry means that if A is related to B, then B is related to A. Transitivity means that if A is related to B and B is related to C, then A is related to C.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"A_Few_key_points_to_remember\"><\/span>A Few key points to remember<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>1. You can only deduct home mortgage interest on the first $1 million of mortgage debt.<\/p>\n<p>2. You can only deduct interest on home mortgage debt that is used to purchase, build, or improve your home.<\/p>\n<p>3. You can only deduct interest on home mortgage debt up to the amount of your home&#8217;s fair market value.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What are Equivalence Relations? An equivalence relation is a binary relation that is reflexive, symmetric, and transitive. Reflexive means that [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Equivalence Relation","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about Equivalence Relation topic of maths in details explained by subject experts on infinitylearn.com","custom_permalink":"maths\/equivalence-relation\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Equivalence Relation - Meaning, Examples and Solved Examples - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Learn about Equivalence Relation topic of maths in details explained by subject experts on infinitylearn.com\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/equivalence-relation\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Equivalence Relation - Meaning, Examples and Solved Examples - Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"og:description\" content=\"Learn about Equivalence Relation topic of maths in details explained by subject experts on infinitylearn.com\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/maths\/equivalence-relation\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"article:published_time\" content=\"2022-03-25T18:16:37+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-01-10T12:34:08+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/equivalence-relation-meaning-examples-and-solved-examples-300x212.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"vipin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Equivalence Relation - Meaning, Examples and Solved Examples - Infinity Learn by Sri Chaitanya","description":"Learn about Equivalence Relation topic of maths in details explained by subject experts on infinitylearn.com","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:\/\/infinitylearn.com\/surge\/maths\/equivalence-relation\/","og_locale":"en_US","og_type":"article","og_title":"Equivalence Relation - Meaning, Examples and Solved Examples - Infinity Learn by Sri Chaitanya","og_description":"Learn about Equivalence Relation topic of maths in details explained by subject experts on infinitylearn.com","og_url":"https:\/\/infinitylearn.com\/surge\/maths\/equivalence-relation\/","og_site_name":"Infinity Learn by Sri Chaitanya","article_publisher":"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","article_published_time":"2022-03-25T18:16:37+00:00","article_modified_time":"2023-01-10T12:34:08+00:00","og_image":[{"url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/equivalence-relation-meaning-examples-and-solved-examples-300x212.jpg"}],"twitter_card":"summary_large_image","twitter_creator":"@InfinityLearn_","twitter_site":"@InfinityLearn_","twitter_misc":{"Written by":"vipin","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/infinitylearn.com\/surge\/#organization","name":"Infinity Learn","url":"https:\/\/infinitylearn.com\/surge\/","sameAs":["https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","https:\/\/www.instagram.com\/infinitylearn_by_srichaitanya\/","https:\/\/www.linkedin.com\/company\/infinity-learn-by-sri-chaitanya\/","https:\/\/www.youtube.com\/c\/InfinityLearnEdu","https:\/\/twitter.com\/InfinityLearn_"],"logo":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#logo","inLanguage":"en-US","url":"","contentUrl":"","caption":"Infinity Learn"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/#logo"}},{"@type":"WebSite","@id":"https:\/\/infinitylearn.com\/surge\/#website","url":"https:\/\/infinitylearn.com\/surge\/","name":"Infinity Learn by Sri Chaitanya","description":"Surge","publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/infinitylearn.com\/surge\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/maths\/equivalence-relation\/#primaryimage","inLanguage":"en-US","url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/equivalence-relation-meaning-examples-and-solved-examples.jpg?v=1648232194","contentUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/equivalence-relation-meaning-examples-and-solved-examples.jpg?v=1648232194","width":606,"height":428},{"@type":"WebPage","@id":"https:\/\/infinitylearn.com\/surge\/maths\/equivalence-relation\/#webpage","url":"https:\/\/infinitylearn.com\/surge\/maths\/equivalence-relation\/","name":"Equivalence Relation - Meaning, Examples and Solved Examples - Infinity Learn by Sri Chaitanya","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"primaryImageOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/equivalence-relation\/#primaryimage"},"datePublished":"2022-03-25T18:16:37+00:00","dateModified":"2023-01-10T12:34:08+00:00","description":"Learn about Equivalence Relation topic of maths in details explained by subject experts on infinitylearn.com","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/equivalence-relation\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/maths\/equivalence-relation\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/maths\/equivalence-relation\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/infinitylearn.com\/surge\/"},{"@type":"ListItem","position":2,"name":"Equivalence Relation &#8211; Meaning, Examples and Solved Examples"}]},{"@type":"Article","@id":"https:\/\/infinitylearn.com\/surge\/maths\/equivalence-relation\/#article","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/equivalence-relation\/#webpage"},"author":{"@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d931698bc4645b2739855720864f30e2"},"headline":"Equivalence Relation &#8211; Meaning, Examples and Solved Examples","datePublished":"2022-03-25T18:16:37+00:00","dateModified":"2023-01-10T12:34:08+00:00","mainEntityOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/equivalence-relation\/#webpage"},"wordCount":302,"publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/equivalence-relation\/#primaryimage"},"thumbnailUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/equivalence-relation-meaning-examples-and-solved-examples-300x212.jpg","articleSection":["Maths"],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d931698bc4645b2739855720864f30e2","name":"vipin","image":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/c9a84adf9d11e7ad01332089c3e52538?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/c9a84adf9d11e7ad01332089c3e52538?s=96&d=mm&r=g","caption":"vipin"},"sameAs":["http:\/\/surge.infinitylearn.com"],"url":"https:\/\/infinitylearn.com\/surge\/author\/vipin\/"}]}},"_links":{"self":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/154656"}],"collection":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/comments?post=154656"}],"version-history":[{"count":0,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/154656\/revisions"}],"wp:attachment":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/media?parent=154656"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=154656"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/tags?post=154656"},{"taxonomy":"table_tags","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/table_tags?post=154656"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}