Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.9 - Linear Inequalities and Absolute Value Inequalities - Exercise Set - Page 138: 67



Work Step by Step

The solutions of $|u|\gt c $ are the numbers that satisfy $ u\lt -c $ or $ u\gt c.$ --- $|x| \gt 3\Rightarrow\left\{\begin{array}{lll} x\lt -3 & \Rightarrow & x\in(-\infty,-3) \\ or & & or\\ x \gt 3 & \Rightarrow & x\in(3,\infty) \end{array}\right.$ Solution set: $(-\infty,-3)\cup(3,\infty)$
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