{"id":15945,"date":"2019-12-05T05:16:51","date_gmt":"2019-12-05T05:16:51","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/chapter\/outcome-solve-single-and-multi-step-inequalities-2\/"},"modified":"2020-01-09T00:36:26","modified_gmt":"2020-01-09T00:36:26","slug":"outcome-solve-single-and-multi-step-inequalities-2","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/chapter\/outcome-solve-single-and-multi-step-inequalities-2\/","title":{"raw":"Introduction to Solving Single-Step and Multi-Step Inequalities","rendered":"Introduction to Solving Single-Step and Multi-Step Inequalities"},"content":{"raw":"\n<h2>What You Will Learn to Do: Solve Single-Step and Multi-Step Inequalities<\/h2>\nSometimes there is a range of possible values to describe a situation. When you see a sign that says \u201cSpeed Limit&nbsp;[latex]25[\/latex],\u201d you know that it doesn\u2019t mean that you have to drive exactly at a speed of&nbsp;[latex]25[\/latex] miles per hour (mph). This sign means that you are not supposed to go faster than [latex]25[\/latex] mph, but there are many legal speeds you could drive, such as&nbsp;[latex]22[\/latex] mph,&nbsp;[latex]24.5[\/latex] mph or&nbsp;[latex]19[\/latex] mph. In a situation like this, which has more than one acceptable value, inequalities are used to represent the situation rather than equations.\n\nSolving multi-step inequalities is very similar to solving equations\u2014what you do to one side you need to do to the other side in order to maintain the \u201cbalance\u201d of the inequality. The <strong>Properties of Inequality<\/strong> can help you understand how to add, subtract, multiply, or divide within an inequality.\n\n","rendered":"<h2>What You Will Learn to Do: Solve Single-Step and Multi-Step Inequalities<\/h2>\n<p>Sometimes there is a range of possible values to describe a situation. When you see a sign that says \u201cSpeed Limit&nbsp;[latex]25[\/latex],\u201d you know that it doesn\u2019t mean that you have to drive exactly at a speed of&nbsp;[latex]25[\/latex] miles per hour (mph). This sign means that you are not supposed to go faster than [latex]25[\/latex] mph, but there are many legal speeds you could drive, such as&nbsp;[latex]22[\/latex] mph,&nbsp;[latex]24.5[\/latex] mph or&nbsp;[latex]19[\/latex] mph. In a situation like this, which has more than one acceptable value, inequalities are used to represent the situation rather than equations.<\/p>\n<p>Solving multi-step inequalities is very similar to solving equations\u2014what you do to one side you need to do to the other side in order to maintain the \u201cbalance\u201d of the inequality. The <strong>Properties of Inequality<\/strong> can help you understand how to add, subtract, multiply, or divide within an inequality.<\/p>\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-15945\">\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 class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Unit 10: Solving Equations and Inequalities, from Developmental Math: An Open Program. <strong>Provided by<\/strong>: Monterey Institute of Technology and Education. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/nrocnetwork.org\/dm-opentext\">http:\/\/nrocnetwork.org\/dm-opentext<\/a>. <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":23485,"menu_order":14,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"Revision and Adaptation\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Unit 10: Solving Equations and Inequalities, from Developmental Math: An Open Program\",\"author\":\"\",\"organization\":\"Monterey Institute of Technology and Education\",\"url\":\"http:\/\/nrocnetwork.org\/dm-opentext\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"23a11e1b-c919-4a4d-8252-89c3400de5e1","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-15945","chapter","type-chapter","status-publish","hentry"],"part":16105,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/15945","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/wp\/v2\/users\/23485"}],"version-history":[{"count":1,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/15945\/revisions"}],"predecessor-version":[{"id":16007,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/15945\/revisions\/16007"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/parts\/16105"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/15945\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/wp\/v2\/media?parent=15945"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=15945"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/wp\/v2\/contributor?post=15945"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/wp\/v2\/license?post=15945"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}