College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.6 - Page 179: 72



Work Step by Step

The absolute value of multiple terms will change the other side to positive or negative when simplified. $4|1-\frac{3}{4}x|+7=10$ $4|1-\frac{3}{4}x|=3$ $|1-\frac{3}{4}x|=\frac{3}{4}$ $1-\frac{3}{4}x=\frac{3}{4}$ $\frac{3}{4}x=\frac{1}{4}$ $x=\frac{1}{3}$ $1-\frac{3}{4}x=-\frac{3}{4}$ $\frac{3}{4}x=\frac{7}{4}$ $x=\frac{7}{3}$ $x=\frac{1}{3},\frac{7}{3}$
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