Algebra 1: Common Core (15th Edition)

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

Chapter 3 - Solving Inequalities - 3-6 Compound Inequalities - Practice and Problem-Solving Exercises - Page 204: 15

Answer

d≥2 or d<2

Work Step by Step

4d+5≥13⟶ subtract 5 from each side 4d+5−5≥13−5⟶ subtract 4d≥8⟶ divide each side by 4 4d÷4≥8÷4⟶ divide d≥2 or 7d−2<12⟶ add 2 to each side 7d−2+2<12+2⟶ add 7d<14⟶ divide each side by 7 7d÷7<14÷7⟶ divide d<2 Since d is either less than, equal to, or greaater than 2, the solution set for d is all real numbers.
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