Answer
$(-\infty,1/3)\cup(1,\infty)$
Work Step by Step
$|2-3x|\gt1$, so $2-3x\gt1$ or $2-3x\lt-1$,
so $-3x\gt-1$ or $-3x\lt-3$,
so $x\lt1/3$ or $x\gt1$thus the solution set is $(-\infty,1/3)\cup(1,\infty)$
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: 50
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