Answer
$x\leq-8\text{ or }x\geq8$
See graph
Work Step by Step
Using absolute rule:
If $|u|\geq a,~a\gt 0$, then $u\leq-a\text{ or }u\geq a$.
For $u=x$ and $a=8$:
$$x\leq-8\text{ or }x\geq8$$
The graph of the solution set is as shown.
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 1 - 1.7 - Linear Inequalities in One Variable - 1.7 Exercises - Page 137: 44
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