{"id":6864,"date":"2021-10-21T21:17:22","date_gmt":"2021-10-21T15:47:22","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6864"},"modified":"2021-10-25T02:32:02","modified_gmt":"2021-10-24T21:02:02","slug":"let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/","title":{"rendered":"Let A = [x: x \\(\\in\\) R, |x| < 1]; B = [x : x \\(\\in\\) R, |x - 1| \\(\\ge\\) 1] and A \\(\\cup\\) B = R - D, then the set D is"},"content":{"rendered":"<h2>Solution :<\/h2>\n<p>A = [x: x \\(\\in\\) R,-1 &lt; x &lt; 1]<\/p>\n<p>B = [x : x \\(\\in\\) R, x &#8211; 1 \\(\\le\\) -1 or x &#8211; 1 \\(\\ge\\) 1]<\/p>\n<p>[x: x \\(\\in\\) R, x \\(\\le\\) 0 or x \\(\\ge\\) 2]<\/p>\n<p>\\(\\therefore\\) A \\(\\cup\\) B = R &#8211; D<\/p>\n<p>where D = [x : x \\(\\in\\) R, 1 \\(\\le\\) x &lt; 2]<\/p>\n<hr \/>\n<h3 style=\"text-align: center;\">Similar Questions<\/h3>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/if-a-xy-then-the-power-set-of-a-is\/\" aria-label=\"\u201cIf A = {x,y}, then the power set of A is\u201d (Edit)\">If A = {x,y}, then the power set of A is<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/if-an-ax-x-in-n-then-the-set-6n-cap-8n-is-equal-to\/\" aria-label=\"\u201cIf aN = {ax : x \\(\\in\\) N}, then the set 6N \\(\\cap\\) 8N is equal to\u201d (Edit)\">If aN = {ax : x \\(\\in\\) N}, then the set 6N \\(\\cap\\) 8N is equal to<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/let-a-and-b-be-two-sets-containing-2-elements-and-4-elements-respectively-the-number-of-subsets-atimesb-having-3-or-more-elements-is\/\" aria-label=\"\u201cLet A and B be two sets containing 2 elements and 4 elements, respectively. The number of subsets A\\(\\times\\)B having 3 or more elements is\u201d (Edit)\">Let A and B be two sets containing 2 elements and 4 elements, respectively. The number of subsets A\\(\\times\\)B having 3 or more elements is<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/the-set-a-x-x-in-r-x2-16-and-2x-6-equal\/\" aria-label=\"\u201cThe set A = [x : x \\(\\in\\) R, \\(x^2\\) = 16 and 2x = 6] equal\u201d (Edit)\">The set A = [x : x \\(\\in\\) R, \\(x^2\\) = 16 and 2x = 6] equal<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/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\/\" aria-label=\"\u201cIf 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.\u201d (Edit)\">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.<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solution : A = [x: x \\(\\in\\) R,-1 &lt; x &lt; 1] B = [x : x \\(\\in\\) R, x &#8211; 1 \\(\\le\\) -1 or x &#8211; 1 \\(\\ge\\) 1] [x: x \\(\\in\\) R, x \\(\\le\\) 0 or x \\(\\ge\\) 2] \\(\\therefore\\) A \\(\\cup\\) B = R &#8211; D where D = [x : x &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathemerize.com\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/\"> <span class=\"screen-reader-text\">Let A = [x: x \\(\\in\\) R, |x| < 1]; B = [x : x \\(\\in\\) R, |x - 1| \\(\\ge\\) 1] and A \\(\\cup\\) B = R - D, then the set D is<\/span> Read More &raquo;<\/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":[43,56],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Let A = [x: x \\(\\in\\) R, |x| &lt; 1]; B = [x : x \\(\\in\\) R, |x - 1| \\(\\ge\\) 1] and A \\(\\cup\\) B = R - D, then the set D is<\/title>\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\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Let A = [x: x \\(\\in\\) R, |x| &lt; 1]; B = [x : x \\(\\in\\) R, |x - 1| \\(\\ge\\) 1] and A \\(\\cup\\) B = R - D, then the set D is\" \/>\n<meta property=\"og:description\" content=\"Solution : A = [x: x (in) R,-1 &lt; x &lt; 1] B = [x : x (in) R, x &#8211; 1 (le) -1 or x &#8211; 1 (ge) 1] [x: x (in) R, x (le) 0 or x (ge) 2] (therefore) A (cup) B = R &#8211; D where D = [x : x &hellip; Let A = [x: x (in) R, |x| &lt; 1]; B = [x : x (in) R, |x - 1| (ge) 1] and A (cup) B = R - D, then the set D is Read More &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathemerize.com\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathemerize\" \/>\n<meta property=\"article:published_time\" content=\"2021-10-21T15:47:22+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-10-24T21:02:02+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\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathemerize.com\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/\"},\"author\":{\"name\":\"mathemerize\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df\"},\"headline\":\"Let A = [x: x \\\\(\\\\in\\\\) R, |x| < 1]; B = [x : x \\\\(\\\\in\\\\) R, |x - 1| \\\\(\\\\ge\\\\) 1] and A \\\\(\\\\cup\\\\) B = R - D, then the set D is\",\"datePublished\":\"2021-10-21T15:47:22+00:00\",\"dateModified\":\"2021-10-24T21:02:02+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathemerize.com\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/\"},\"wordCount\":165,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathemerize.com\/#organization\"},\"articleSection\":[\"Maths Questions\",\"Sets Questions\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathemerize.com\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathemerize.com\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/\",\"url\":\"https:\/\/mathemerize.com\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/\",\"name\":\"Let A = [x: x \\\\(\\\\in\\\\) R, |x| < 1]; B = [x : x \\\\(\\\\in\\\\) R, |x - 1| \\\\(\\\\ge\\\\) 1] and A \\\\(\\\\cup\\\\) B = R - D, then the set D is\",\"isPartOf\":{\"@id\":\"https:\/\/mathemerize.com\/#website\"},\"datePublished\":\"2021-10-21T15:47:22+00:00\",\"dateModified\":\"2021-10-24T21:02:02+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathemerize.com\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathemerize.com\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathemerize.com\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathemerize.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Let A = [x: x \\\\(\\\\in\\\\) R, |x| < 1]; B = [x : x \\\\(\\\\in\\\\) R, |x - 1| \\\\(\\\\ge\\\\) 1] and A \\\\(\\\\cup\\\\) B = R - D, then the set D is\"}]},{\"@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":"Let A = [x: x \\(\\in\\) R, |x| < 1]; B = [x : x \\(\\in\\) R, |x - 1| \\(\\ge\\) 1] and A \\(\\cup\\) B = R - D, then the set D is","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\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/","og_locale":"en_US","og_type":"article","og_title":"Let A = [x: x \\(\\in\\) R, |x| < 1]; B = [x : x \\(\\in\\) R, |x - 1| \\(\\ge\\) 1] and A \\(\\cup\\) B = R - D, then the set D is","og_description":"Solution : A = [x: x (in) R,-1 &lt; x &lt; 1] B = [x : x (in) R, x &#8211; 1 (le) -1 or x &#8211; 1 (ge) 1] [x: x (in) R, x (le) 0 or x (ge) 2] (therefore) A (cup) B = R &#8211; D where D = [x : x &hellip; Let A = [x: x (in) R, |x| < 1]; B = [x : x (in) R, |x - 1| (ge) 1] and A (cup) B = R - D, then the set D is Read More &raquo;","og_url":"https:\/\/mathemerize.com\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/","og_site_name":"Mathemerize","article_published_time":"2021-10-21T15:47:22+00:00","article_modified_time":"2021-10-24T21:02:02+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\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/#article","isPartOf":{"@id":"https:\/\/mathemerize.com\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/"},"author":{"name":"mathemerize","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df"},"headline":"Let A = [x: x \\(\\in\\) R, |x| < 1]; B = [x : x \\(\\in\\) R, |x - 1| \\(\\ge\\) 1] and A \\(\\cup\\) B = R - D, then the set D is","datePublished":"2021-10-21T15:47:22+00:00","dateModified":"2021-10-24T21:02:02+00:00","mainEntityOfPage":{"@id":"https:\/\/mathemerize.com\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/"},"wordCount":165,"commentCount":0,"publisher":{"@id":"https:\/\/mathemerize.com\/#organization"},"articleSection":["Maths Questions","Sets Questions"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathemerize.com\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathemerize.com\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/","url":"https:\/\/mathemerize.com\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/","name":"Let A = [x: x \\(\\in\\) R, |x| < 1]; B = [x : x \\(\\in\\) R, |x - 1| \\(\\ge\\) 1] and A \\(\\cup\\) B = R - D, then the set D is","isPartOf":{"@id":"https:\/\/mathemerize.com\/#website"},"datePublished":"2021-10-21T15:47:22+00:00","dateModified":"2021-10-24T21:02:02+00:00","breadcrumb":{"@id":"https:\/\/mathemerize.com\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathemerize.com\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathemerize.com\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathemerize.com\/"},{"@type":"ListItem","position":2,"name":"Let A = [x: x \\(\\in\\) R, |x| < 1]; B = [x : x \\(\\in\\) R, |x - 1| \\(\\ge\\) 1] and A \\(\\cup\\) B = R - D, then the set D is"}]},{"@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\/6864"}],"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=6864"}],"version-history":[{"count":3,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts\/6864\/revisions"}],"predecessor-version":[{"id":7446,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts\/6864\/revisions\/7446"}],"wp:attachment":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/media?parent=6864"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/categories?post=6864"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/tags?post=6864"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}