Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.8 Absolute Value Equations and Inequalities - 1.8 Exercises: 8

Answer

$H$

Work Step by Step

RECALL: $|x|=a \longrightarrow x=a \text{ or } x=-a$ Thus, $|x|=7 \longrightarrow x=7 \text{ or } x =-7$ Therefore, $|x| \ne 7$ means that $x \ne -7, x \ne 7$ The graph that represents this is the one with only $-7$ and $7$ excluded from the graph, which is the one in Graph $H$.
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