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 283: 16



Work Step by Step

Given: $2|3x-2|=14$ This can also be written as: $|3x-2|=7$ As per definition of absolute value, we have $3x-2=7$ and $3x-2=-7$ Thus, $3x=9 \implies x=3$ and $3x=-5 \implies x=-\dfrac{5}{3}$ Hence, {$-\dfrac{5}{3},3$}
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