{"id":376,"date":"2019-07-15T22:44:33","date_gmt":"2019-07-15T22:44:33","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/waymakercollegealgebracorequisite\/chapter\/summary-review-12\/"},"modified":"2021-07-15T18:41:10","modified_gmt":"2021-07-15T18:41:10","slug":"summary-review-12","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/chapter\/summary-review-12\/","title":{"raw":"Summary: Review","rendered":"Summary: Review"},"content":{"raw":"\n<h2>Key Concepts<\/h2>\n<ul>\n \t<li>To graph an inequality, first graph the related boundary line by replacing the given inequality symbol with the equality symbol to find its equation. Use a dashed line for a strict inequality. Then, test ordered pairs on either side of the boundary line and shade the side of the graph containing the point that satisfies the inequality equation.<\/li>\n \t<li>The solution to a system of linear inequalities is the region containing all the ordered pairs satisfying the system.<\/li>\n \t<li>You can verify whether a point is a solution to a system of linear inequalities in the same way you verify whether a point is a solution to a system of equations.<\/li>\n \t<li>Systems of inequalities have no solutions when boundary lines are parallel.<\/li>\n \t<li>Systems of inequalities can be used to model certain business situations.<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<dl>\n \t<dt><strong>boundary line <\/strong><\/dt>\n \t<dd>replacing the inequality symbol of an inequality with an equality symbol and graphing the resulting line will yield the boundary line of the inequality<\/dd>\n \t<dt><strong>solution region<\/strong><\/dt>\n \t<dd>all possible points [latex](x, y)[\/latex] on a graph that satisfy an inequality or system of inequalities<\/dd>\n \t<dt><strong>system of inequalities<\/strong><\/dt>\n \t<dd>two or more inequalities with the requirement that solutions for the system must be solutions of all inequalities in the system<\/dd>\n<\/dl>\n","rendered":"<h2>Key Concepts<\/h2>\n<ul>\n<li>To graph an inequality, first graph the related boundary line by replacing the given inequality symbol with the equality symbol to find its equation. Use a dashed line for a strict inequality. Then, test ordered pairs on either side of the boundary line and shade the side of the graph containing the point that satisfies the inequality equation.<\/li>\n<li>The solution to a system of linear inequalities is the region containing all the ordered pairs satisfying the system.<\/li>\n<li>You can verify whether a point is a solution to a system of linear inequalities in the same way you verify whether a point is a solution to a system of equations.<\/li>\n<li>Systems of inequalities have no solutions when boundary lines are parallel.<\/li>\n<li>Systems of inequalities can be used to model certain business situations.<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<dl>\n<dt><strong>boundary line <\/strong><\/dt>\n<dd>replacing the inequality symbol of an inequality with an equality symbol and graphing the resulting line will yield the boundary line of the inequality<\/dd>\n<dt><strong>solution region<\/strong><\/dt>\n<dd>all possible points [latex](x, y)[\/latex] on a graph that satisfy an inequality or system of inequalities<\/dd>\n<dt><strong>system of inequalities<\/strong><\/dt>\n<dd>two or more inequalities with the requirement that solutions for the system must be solutions of all inequalities in the system<\/dd>\n<\/dl>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-376\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Revision and Adaptation. <strong>Provided by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":17533,"menu_order":8,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"Revision and Adaptation\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-376","chapter","type-chapter","status-publish","hentry"],"part":1363,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters\/376","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":1,"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters\/376\/revisions"}],"predecessor-version":[{"id":1279,"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters\/376\/revisions\/1279"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/parts\/1363"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters\/376\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/wp\/v2\/media?parent=376"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=376"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/wp\/v2\/contributor?post=376"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/wp\/v2\/license?post=376"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}