{"id":154586,"date":"2022-03-25T23:41:57","date_gmt":"2022-03-25T18:11:57","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/linear-inequalities-symbol-rules-graphical-representation-and-important-results\/"},"modified":"2023-01-02T18:07:01","modified_gmt":"2023-01-02T12:37:01","slug":"linear-inequalities-symbol-rules-graphical-representation-and-important-results","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/linear-inequalities\/","title":{"rendered":"Linear Inequalities &#8211; Symbol, Rules, Graphical Representation and Important Results"},"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\/linear-inequalities\/#An_Introduction_to_the_Theory_of_Groups\" title=\"An Introduction to the Theory of Groups\">An Introduction to the Theory of Groups<\/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\/linear-inequalities\/#Fact_About_Linear_Inequalities\" title=\"Fact About Linear Inequalities\">Fact About Linear Inequalities<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"An_Introduction_to_the_Theory_of_Groups\"><\/span>An Introduction to the Theory of Groups<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A group is a set of elements together with a binary operation (usually denoted by *) that satisfies four properties:<\/p>\n<p>Closure: For all a, b in the group, a * b is also in the group.<\/p>\n<p>Associativity: For all a, b, c in the group, (a * b) * c = a * (b * c).<\/p>\n<p>Identity: There exists an element e in the group such that a * e = a for all a in the group.<\/p>\n<p>Inverses: For every a in the group there exists an element b such that a * b = e, where e is the identity element.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-154585 size-medium\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/linear-inequalities-symbol-rules-graphical-representation-and-important-results-300x212.jpg\" alt=\"Linear Inequalities - Symbol, Rules,\" width=\"300\" height=\"212\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/linear-inequalities-symbol-rules-graphical-representation-and-important-results-300x212.jpg?v=1648231914 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/linear-inequalities-symbol-rules-graphical-representation-and-important-results.jpg?v=1648231914 606w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Fact_About_Linear_Inequalities\"><\/span>Fact About Linear Inequalities<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A linear inequality is an equation involving two variables that is linear in one of the variables. Linear inequalities always have a graph that is a line. The line will be solid if the inequality is true for all values of the variable on the line, and it will be dashed if the inequality is not true for some values of the variable on the line.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>An Introduction to the Theory of Groups A group is a set of elements together with a binary operation (usually [&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":"Linear Inequalities","_yoast_wpseo_title":"Linear Inequalities - Symbol, Rules, Graphical Representation and Results","_yoast_wpseo_metadesc":"Learn about linear inequalities topic of maths in details explained by subject experts on infinitylearn.com","custom_permalink":"maths\/linear-inequalities\/"},"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>Linear Inequalities - 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