{"id":8884,"date":"2022-12-29T10:00:01","date_gmt":"2022-12-29T04:30:01","guid":{"rendered":"https:\/\/www.aplustopper.com\/?p=8884"},"modified":"2022-12-30T09:48:09","modified_gmt":"2022-12-30T04:18:09","slug":"solving-rational-inequalities","status":"publish","type":"post","link":"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/","title":{"rendered":"Solving Rational Inequalities"},"content":{"rendered":"

Solving Rational Inequalities<\/strong><\/span><\/h2>\n

A rational inequality is an inequality which contains a rational expression. When solving these rational inequalities, there are steps that lead us to the solution.<\/p>\n

To solve Rational Inequalities<\/strong>:
\n(1) Write the inequality as an equation, and solve the equation.
\n(2) Determine any values that make the denominator equal 0.
\n(3) On a number line, mark each of the critical values from steps 1 and 2.
\nThese values will create intervals on the number line.
\n(4) Select a test point in each interval, and check to see if that test point
\nsatisfies the inequality. (Find the intervals which satisfy the inequality).
\n(5) Mark the number line to reflect the values and intervals that satisfy
\nthe inequality.
\n(6) State your answer using the desired form of notation.<\/p>\n

\"Solving-Rational-inEquations-1\"<\/p>\n

When the numerator of the inequality is a quadratic expression, combine the
\nQuadratic Inequality method of solution with this Rational Inequality method.
\nCheck out this example<\/strong>.<\/p>\n

\"Solving-Rational-inEquations-2\"<\/p>\n","protected":false},"excerpt":{"rendered":"

Solving Rational Inequalities A rational inequality is an inequality which contains a rational expression. When solving these rational inequalities, there are steps that lead us to the solution. To solve Rational Inequalities: (1) Write the inequality as an equation, and solve the equation. (2) Determine any values that make the denominator equal 0. (3) On […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[5],"tags":[3243],"yoast_head":"\nSolving Rational Inequalities - A Plus Topper<\/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:\/\/www.aplustopper.com\/solving-rational-inequalities\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Solving Rational Inequalities\" \/>\n<meta property=\"og:description\" content=\"Solving Rational Inequalities A rational inequality is an inequality which contains a rational expression. When solving these rational inequalities, there are steps that lead us to the solution. To solve Rational Inequalities: (1) Write the inequality as an equation, and solve the equation. (2) Determine any values that make the denominator equal 0. (3) On […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/\" \/>\n<meta property=\"og:site_name\" content=\"A Plus Topper\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/aplustopper\/\" \/>\n<meta property=\"article:published_time\" content=\"2022-12-29T04:30:01+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-12-30T04:18:09+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/c1.staticflickr.com\/1\/472\/31358794960_95042d7def_o.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"sastry\" \/>\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\":\"Organization\",\"@id\":\"https:\/\/www.aplustopper.com\/#organization\",\"name\":\"Aplus Topper\",\"url\":\"https:\/\/www.aplustopper.com\/\",\"sameAs\":[\"https:\/\/www.facebook.com\/aplustopper\/\"],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/www.aplustopper.com\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"contentUrl\":\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"width\":1585,\"height\":375,\"caption\":\"Aplus Topper\"},\"image\":{\"@id\":\"https:\/\/www.aplustopper.com\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.aplustopper.com\/#website\",\"url\":\"https:\/\/www.aplustopper.com\/\",\"name\":\"A Plus Topper\",\"description\":\"Improve your Grades\",\"publisher\":{\"@id\":\"https:\/\/www.aplustopper.com\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.aplustopper.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/c1.staticflickr.com\/1\/472\/31358794960_95042d7def_o.jpg\",\"contentUrl\":\"https:\/\/c1.staticflickr.com\/1\/472\/31358794960_95042d7def_o.jpg\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/#webpage\",\"url\":\"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/\",\"name\":\"Solving Rational Inequalities - A Plus Topper\",\"isPartOf\":{\"@id\":\"https:\/\/www.aplustopper.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/#primaryimage\"},\"datePublished\":\"2022-12-29T04:30:01+00:00\",\"dateModified\":\"2022-12-30T04:18:09+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.aplustopper.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Solving Rational Inequalities\"}]},{\"@type\":\"Article\",\"@id\":\"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/#webpage\"},\"author\":{\"@id\":\"https:\/\/www.aplustopper.com\/#\/schema\/person\/751f801bee0eddc87d6e9b7d45a8feca\"},\"headline\":\"Solving Rational Inequalities\",\"datePublished\":\"2022-12-29T04:30:01+00:00\",\"dateModified\":\"2022-12-30T04:18:09+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/#webpage\"},\"wordCount\":149,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/www.aplustopper.com\/#organization\"},\"image\":{\"@id\":\"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/c1.staticflickr.com\/1\/472\/31358794960_95042d7def_o.jpg\",\"keywords\":[\"Solving Rational Inequalities\"],\"articleSection\":[\"Mathematics\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/#respond\"]}]},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.aplustopper.com\/#\/schema\/person\/751f801bee0eddc87d6e9b7d45a8feca\",\"name\":\"sastry\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/www.aplustopper.com\/#personlogo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/d97564d7fa0c644fd231068e890b0736?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/d97564d7fa0c644fd231068e890b0736?s=96&d=mm&r=g\",\"caption\":\"sastry\"},\"url\":\"https:\/\/www.aplustopper.com\/author\/sastry\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Solving Rational Inequalities - A Plus Topper","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:\/\/www.aplustopper.com\/solving-rational-inequalities\/","og_locale":"en_US","og_type":"article","og_title":"Solving Rational Inequalities","og_description":"Solving Rational Inequalities A rational inequality is an inequality which contains a rational expression. When solving these rational inequalities, there are steps that lead us to the solution. To solve Rational Inequalities: (1) Write the inequality as an equation, and solve the equation. (2) Determine any values that make the denominator equal 0. (3) On […]","og_url":"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/","og_site_name":"A Plus Topper","article_publisher":"https:\/\/www.facebook.com\/aplustopper\/","article_published_time":"2022-12-29T04:30:01+00:00","article_modified_time":"2022-12-30T04:18:09+00:00","og_image":[{"url":"https:\/\/c1.staticflickr.com\/1\/472\/31358794960_95042d7def_o.jpg"}],"twitter_card":"summary","twitter_misc":{"Written by":"sastry","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/www.aplustopper.com\/#organization","name":"Aplus Topper","url":"https:\/\/www.aplustopper.com\/","sameAs":["https:\/\/www.facebook.com\/aplustopper\/"],"logo":{"@type":"ImageObject","@id":"https:\/\/www.aplustopper.com\/#logo","inLanguage":"en-US","url":"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg","contentUrl":"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg","width":1585,"height":375,"caption":"Aplus Topper"},"image":{"@id":"https:\/\/www.aplustopper.com\/#logo"}},{"@type":"WebSite","@id":"https:\/\/www.aplustopper.com\/#website","url":"https:\/\/www.aplustopper.com\/","name":"A Plus Topper","description":"Improve your Grades","publisher":{"@id":"https:\/\/www.aplustopper.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.aplustopper.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/#primaryimage","inLanguage":"en-US","url":"https:\/\/c1.staticflickr.com\/1\/472\/31358794960_95042d7def_o.jpg","contentUrl":"https:\/\/c1.staticflickr.com\/1\/472\/31358794960_95042d7def_o.jpg"},{"@type":"WebPage","@id":"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/#webpage","url":"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/","name":"Solving Rational Inequalities - A Plus Topper","isPartOf":{"@id":"https:\/\/www.aplustopper.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/#primaryimage"},"datePublished":"2022-12-29T04:30:01+00:00","dateModified":"2022-12-30T04:18:09+00:00","breadcrumb":{"@id":"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.aplustopper.com\/solving-rational-inequalities\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.aplustopper.com\/"},{"@type":"ListItem","position":2,"name":"Solving Rational Inequalities"}]},{"@type":"Article","@id":"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/#article","isPartOf":{"@id":"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/#webpage"},"author":{"@id":"https:\/\/www.aplustopper.com\/#\/schema\/person\/751f801bee0eddc87d6e9b7d45a8feca"},"headline":"Solving Rational Inequalities","datePublished":"2022-12-29T04:30:01+00:00","dateModified":"2022-12-30T04:18:09+00:00","mainEntityOfPage":{"@id":"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/#webpage"},"wordCount":149,"commentCount":0,"publisher":{"@id":"https:\/\/www.aplustopper.com\/#organization"},"image":{"@id":"https:\/\/www.aplustopper.com\/solving-rational-inequalities\/#primaryimage"},"thumbnailUrl":"https:\/\/c1.staticflickr.com\/1\/472\/31358794960_95042d7def_o.jpg","keywords":["Solving Rational Inequalities"],"articleSection":["Mathematics"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/www.aplustopper.com\/solving-rational-inequalities\/#respond"]}]},{"@type":"Person","@id":"https:\/\/www.aplustopper.com\/#\/schema\/person\/751f801bee0eddc87d6e9b7d45a8feca","name":"sastry","image":{"@type":"ImageObject","@id":"https:\/\/www.aplustopper.com\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/d97564d7fa0c644fd231068e890b0736?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/d97564d7fa0c644fd231068e890b0736?s=96&d=mm&r=g","caption":"sastry"},"url":"https:\/\/www.aplustopper.com\/author\/sastry\/"}]}},"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/www.aplustopper.com\/wp-json\/wp\/v2\/posts\/8884"}],"collection":[{"href":"https:\/\/www.aplustopper.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.aplustopper.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.aplustopper.com\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.aplustopper.com\/wp-json\/wp\/v2\/comments?post=8884"}],"version-history":[{"count":1,"href":"https:\/\/www.aplustopper.com\/wp-json\/wp\/v2\/posts\/8884\/revisions"}],"predecessor-version":[{"id":154386,"href":"https:\/\/www.aplustopper.com\/wp-json\/wp\/v2\/posts\/8884\/revisions\/154386"}],"wp:attachment":[{"href":"https:\/\/www.aplustopper.com\/wp-json\/wp\/v2\/media?parent=8884"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.aplustopper.com\/wp-json\/wp\/v2\/categories?post=8884"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.aplustopper.com\/wp-json\/wp\/v2\/tags?post=8884"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}