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: 28

Answer

{$-\frac{15}{2},6$}

Work Step by Step

Using the rules for absolute values to generate two equations, we obtain: Step 1: $|4x+3|=27$ Step 2: $4x+3=27$ and $4x+3=-27$ Step 3: $4x=27-3$ and $4x=-27-3$ Step 4: $4x=24$ and $4x=-30$ Step 5: $x=\frac{24}{4}$ and $x=-\frac{30}{4}$ Step 6: $x=6$ and $x=-\frac{15}{2}$ Therefore, the solution set for the equation is {$-\frac{15}{2},6$}.
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