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: 113

Answer

$|x-3|\le4$

Work Step by Step

Halfway between the boundaries of the given graph, $-1$ and $7,$ is $3.$ From $3,$ the points on the graph represent all numbers that are less than or equal to $4$ units away. Hence, the given graph is equivalent to: \begin{array}{l}\require{cancel} |x-3|\le4 .\end{array}
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