Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 4 - Section 4.3 - Equations and Inequalities Involving Absolute Value - Exercise Set - Page 285: 100

Answer

see below

Work Step by Step

Given the equation $|u|=|v|$, then we rewrite the equation without absolute value bars as follows: $$u=v \quad \text{or} \quad u=-v.$$ Then we solve the two equations $u=v$ and $u=-v$. We check the two proposed solutions in the original equation and write the solution set.
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