Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 11 - Additional Topics - 11.1 - Equations and Inequalities Involving Absolute Value - Problem Set 11.1: 27

Answer

{$-\frac{16}{3},6$}

Work Step by Step

Using the rules for absolute values to generate two equations, we obtain: Step 1: $|3x-1|=17$ Step 2: $3x-1=17$ and $3x-1=-17$ Step 3: $3x=17+1$ and $3x=-17+1$ Step 4: $3x=18$ and $3x=-16$ Step 5: $x=\frac{18}{3}$ and $x=-\frac{16}{3}$ Step 6: $x=6$ and $x=-\frac{16}{3}$ Therefore, the solution set for the equation is {$-\frac{16}{3},6$}.
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