Answer
$y \gt 42$ or $y \lt -70$
Work Step by Step
Given: $|\frac{1}{7}y+2| -5 \gt 3$
$|\frac{1}{7}y+2| \gt 8$
$\frac{1}{7}y+2 \gt8$ or $\frac{1}{7}y+2 \lt -8$
$\frac{1}{7}y\gt6$ or $\frac{1}{7}y \lt -10$
$y \gt 42$ or $y \lt -70$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 1, Equations and Inequalities - 1.7 Solve Absolute Value Equations and Inequalities - 1.7 Exercises - Skill Practice - Page 56: 61
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