College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Concept and Vocabulary Check - Page 195: 11

Answer

$u\lt-c$ or $u\gt c$

Work Step by Step

Step 1. Given $c>0$ and $|u|\gt c$, we have, when $u\geq0,|u|=u$, thus $u\gt c$ for this case. Step 2. When $u\lt 0,|u|=−u$, we have $−u\gt c$ and $u\lt−c$ for this case. Step 3. Combine the above results, we have $u\lt-c$ or $u\gt c$ for all u values.
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