## Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole

# Chapter 2 - Systems of Linear Equations and Inequalities - 2.5 Absolute Value Equations and Inequalities - 2.5 Exercises - Page 186: 28

#### Answer

$x\ge-9 \text{ AND } x\le-4$

#### 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 graph contains only a single graph, then "AND" will be used. Since brackets 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\ge-9 \text{ AND } x\le-4 .\end{array}

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