Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 9 - Inequalities and Problem Solving - 9.3 Absolute-Value Equations and Inequalities - 9.3 Exercise Set: 115

Answer

$|x+4|\lt3$

Work Step by Step

Halfway between the boundaries of the given graph, $-7$ and $-1,$ is $-4.$ From $-4,$ the points on the graph represent all numbers that are less than $3$ units away. Hence, the given graph is equivalent to \begin{array}{l}\require{cancel} |x-(-4)|\lt3 \\\\ |x+4|\lt3 .\end{array}
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