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: 26

Answer

The solution set is {$-4,4$}

Work Step by Step

$5-|\frac{1}{2}x|=3$ Isolate the absolute value $-|\frac{1}{2}x|=3-5$ $-|\frac{1}{2}x|=-2$ $|\frac{1}{2}x|=2$ $\frac{1}{2}x=2$ or $\frac{1}{2}x=-2$ $x=2\cdot2$ or $x=-2\cdot2$ $x=4$ or $x=-4$ The solution set is {$-4,4$}.
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