Answer
False
Work Step by Step
False.
We know that $|u|\gt a$ is equivalent to $-a\gt u\gt a$ (the inequalities should be greater-than signs, not less-than signs).
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 2 - Linear and Quadratic Functions - Section 2.8 Equations and Inequalities Involving the Absolute Value Function - 2.8 Assess Your Understanding - Page 181: 12
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