Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 1 - Summary Exercises - Reviewing a Chapter - Solving Linear and Absolute Value Equations and Inequalities - Page 122: 10

Answer

{1,$\frac{11}{3}$}

Work Step by Step

We are given the equation $|3x-7|-4=0$. In order to solve, first add 4 to both sides. $|3x-7|=4$ Therefore, we know that $3x-7=4$ or $3x-7=-4$. In order to solve $3x-7=4$, first add 7 to both sides. $3x=11$ Divide by 3. $x=\frac{11}{3}$ In order to solve $3x-7=-4$, first add 7 to both sides. $3x=3$ Divide by 3. $x=1$
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