Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 2 - Systems of Linear Equations and Inequalities - 2.5 Absolute Value Equations and Inequalities - 2.5 Exercises: 59

Answer

$x\gt8$
1514098752

Work Step by Step

$\bf{\text{Solution Outline:}}$ To solve the given inequality, $ 4x-20\gt12 ,$ use the properties of inequality to isolate the variable. Then, graph the solution set. In the graph, a hollowed dot is used for $\lt$ or $\gt.$ A solid dot is used for $\le$ or $\ge.$ $\bf{\text{Solution Details:}}$ Using the properties of inequality, the given is equivalent to \begin{array}{l}\require{cancel} 4x-20\gt12 \\\\ 4x\gt12+20 \\\\ 4x\gt32 \\\\ x\gt\dfrac{32}{4} \\\\ x\gt8 .\end{array}
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