Algebra 1: Common Core (15th Edition)

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

Chapter 3 - Solving Inequalities - 3-8 Unions and Intersections of Sets - Practice and Problem-Solving Exercises - Page 219: 31

Answer

{x | x21}

Work Step by Step

2|x−7|>28⟶ divide each side by 2 2|x−7|÷2>28÷2⟶ divide |x−7|>14⟶ write a compound inequality using the definition of absolute values x−714⟶ solve each inequality x−714⟶ add 7 to each side x−7+7>14+7⟶ add x>21 A compound inequality joined by OR is the union of the two solution sets.
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