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: 49

Answer

$(-\infty,-1)\cup(2,\infty)$

Work Step by Step

$|1-2x|\gt3$, so $1-2x\gt3$ or $1-2x\lt-3$, so $-2x\gt2$ or $-2x\lt-4$, so $x\lt-1$ or $x\gt2$ thus the solution set is $(-\infty,-1)\cup(2,\infty)$
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