Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 3 - Solving Inequalities - 3-7 Absolute Value Equations and Inequalities - Practice and Problem-Solving Exercises - Page 211: 28


x=−5 or x=1

Work Step by Step

3|x+2|+4=13⟶ subtract 4 from each side 3|x+2|+4−4=13−4⟶ subtract 3|x+2|=9⟶ divide each side by 3 3|x+2|÷3=9÷3⟶ divide |x+2|=3⟶ definition of absolute value x+2=−3 or x+2=3⟶ subtract 2 from each part x+2−2=−3−2 or x+2−2=3−2⟶ subtract x=−5 or x=1
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