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: 25

Answer

$x\lt-5 \text{ OR } x\gt-2$

Work Step by Step

$\bf{\text{Solution Outline:}}$ If there is only $1$ graph, use "AND." If there are two separate graphs, use "OR." For a graph that uses a parenthesis as an endpoint, use $\lt$ or $\gt.$ For a graph that uses a bracket as an endpoint, use $\le$ or $\ge.$ $\bf{\text{Solution Details:}}$ Since the given contains $2$ separate graphs, then "OR" will be used. Since parentheses are used as endpoints in the given graph, then $\le$ or $\ge$ will be used. The compound inequality that satisfies the given graph is \begin{array}{l}\require{cancel} x\lt-5 \text{ OR } x\gt-2 .\end{array}
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