College Algebra (10th Edition)

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: 62


$x\lt-\frac{7}{2}$ or $x\gt\frac{3}{2}$

Work Step by Step

We simplify as follows: $3-|x+1|\lt\frac{1}{2}$ $-|x+1|\lt-\frac{5}{2}$ $|x+1|\gt\frac{5}{2}$ $x+1\gt\frac{5}{2}$ or $x+1\lt-\frac{5}{2}$ $x\gt\frac{3}{2}$ or $x\lt-\frac{7}{2}$
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