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: 30

Answer

{d | d≤−2 4/5}∪{d | d≥−1 3/5}

Work Step by Step

3≤|5d+11|⟶ write a compound inequality using the definition of absolute values 5d+11≤−3 OR 5d+11≥3⟶ solve each inequality 5d+11≤−3⟶ subtract 11 from each side 5d+11−11≤−3−11⟶ subtract 5d≤−14⟶ divide each side by 5 5d÷5≤−14÷5⟶ divide d≤−2 4/5 OR 5d+11≥3⟶ subtract 11 from each side 5d+11−11≥3−11⟶ subtract 5d≥−8⟶ divide each side by 5 5d÷5≥−8÷5⟶ divide d≥−1 3/5 A compound inequality joined by OR is the union of the two solution sets.
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