Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 4 - Section 4.3 - Equations and Inequalities Involving Absolute Value - Exercise Set - Page 284: 82


$(-\infty,-10) \cup (14, \infty)$

Work Step by Step

Given: $|2x-4| -6\gt 18$ or, $|2x-4| \gt 18+6$ or,$2x-4 \gt 24$ or, $x \gt 14$ Now, $|2x-4| \gt 6+18$ or,$2x-4 \lt -24 \implies 2x \lt -20$ or, $x \lt -10$ Hence, $(-\infty,-10) \cup (14, \infty)$
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