Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 1, Equations and Inequalities - 1.7 Solve Absolute Value Equations and Inequalities - 1.7 Exercises - Skill Practice - Page 55: 26

Answer

$$r=-\frac{25}{2}\quad \mathrm{or}\quad \:r=9$$

Work Step by Step

Since the value inside the absolute value can be positive or negative and get the same number, we must consider both options. Doing this, we find: $$4r+7=-43\quad \mathrm{or}\quad \:4r+7=43 \\ r=-\frac{25}{2}\quad \mathrm{or}\quad \:r=9$$
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