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: 4

Answer

$E$

Work Step by Step

RECALL: $|x| \gt a \longrightarrow x \gt a \text{ or } x \lt -a$ Using the rule above gives: $|x| \gt 7 \longrightarrow x \gt 7 \text{ or } x\lt -7$ Thus, the solutions to the given inequality are the numbers that are either greater than $7$ or less than $-7$. The graph that represents these numbers is the one in Option $E$.
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