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: 34

Answer

The solution set is {$-3,-1$}.

Work Step by Step

$|\frac{2x+1}{3x+4}|=1$ $\frac{2x+1}{3x+4}=1$ or $\frac{2x+1}{3x+4}=-1$ $2x+1=1(3x+4)$ or $2x+1=-1(3x+4)$ $2x+1=3x+4$ or $2x+1=-3x-4$ $2x-3x=4-1$ or $2x+3x=-4-1$ $-x=3$ or $5x=-5$ $x=-3$ or $x=-1$ The solution set is {$-3,-1$}.
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