Answer
$x\geq\frac{10}{3}$ or $x\leq-5$
Work Step by Step
$|3x+5|\geq10$ implies $3x+5\geq10\\3x\geq10\\x\geq\frac{10}{3}$ or $3x+5\leq-10\\3x\leq-15\\x\leq-5$.
Thus $x\geq\frac{10}{3}$ or $x\leq-5$. I used a graphing utility to graph this set.
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 - Guided Practice for Example 4 - Page 53: 9
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