Answer
$(-\infty,-5)\cup(-1,\infty)$
Work Step by Step
The equation by the text of the exercise is: $|x−(-3)|\gt2$,
so $x+3\gt2$ or $x+3\lt-2$,
so $x\gt-1$ or $x\lt-5$, thus the solution set is $(-\infty,-5)\cup(-1,\infty)$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 1 - Section 1.6 - Equations and Inequalities Involving Absolute Value - 1.6 Assess Your Understanding - Page 133: 71
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