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: 46


The solution set is {$x|x\geq-\frac{2}{3}$ or $x\leq-2$}.

Work Step by Step

$|3x+4|\geq2$ $3x+4\geq2$ or $3x+4\leq-2$ $3x+4-4\geq2-4$ or $3x+4-4\leq-2-4$ $3x\geq-2$ or $3x\leq-6$ $x\geq-\frac{2}{3}$ or $x\leq-2$ The solution set is {$x|x\geq-\frac{2}{3}$ or $x\leq-2$}.
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