{"id":16144,"date":"2019-10-01T18:18:38","date_gmt":"2019-10-01T18:18:38","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/chapter\/outcome-solve-single-and-multi-step-inequalities-2\/"},"modified":"2021-05-21T21:04:35","modified_gmt":"2021-05-21T21:04:35","slug":"outcome-solve-single-and-multi-step-inequalities-2","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/chapter\/outcome-solve-single-and-multi-step-inequalities-2\/","title":{"raw":"Introduction to Solving Single- and Multi-Step Inequalities","rendered":"Introduction to Solving Single- and Multi-Step Inequalities"},"content":{"raw":"

What You Will Learn to Do: Solve Single-Step and Multi-Step Inequalities<\/h2>\r\nSometimes, there is a range of possible values to describe a situation. When you see a sign that says \u201cSpeed Limit\u00a0[latex]25[\/latex],\u201d you know that it doesn\u2019t mean that you have to drive at exactly a speed of\u00a0[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\u00a0[latex]22[\/latex] mph,\u00a0[latex]24.5[\/latex] mph or\u00a0[latex]19[\/latex] mph. In a situation like this, which has more than one acceptable value, inequalities, rather than equations, are used to represent the situation.\r\n\r\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 Properties of Inequality<\/strong> can help you understand how to add, subtract, multiply, or divide within an inequality.\r\n\r\nIn particular, you will learn how to:\r\n