Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

APPENDIX A - Numbers, Inequalities, and Absolute Values - A Exercises: 46

Answer

$ x=-4,-\frac{2}{5}$

Work Step by Step

Given: $|\frac{2x-1}{x+1}|=3$ Solve the given inequality as follows: $\frac{2x-1}{x+1}=±3$ $2x-1=±3(x+1)$ $2x-1=3(x+1)$ This implies $2x-3x=3+1$ $x=-4$ or $2x-1=-3(x+1)$ This implies $2x+3x=-3+1$ $5x=-2$ $x=-\frac{2}{5}$ Hence, the solution are $ x=-4,-\frac{2}{5}$
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