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: 44

Answer

d $\frac{35}{3}$

Work Step by Step

You have the inequality:(3d−7) $\gt$28. Separate it into two inequalities:3d−7$\lt$ −28 or 3d−7$\gt$28 and solve them individually: 3d−7$\lt$−28 (add 7 to both sides) 3d$\lt$−21 (divide both sides by 3) d$\lt$−7 3d−7$\gt$28 (add 7 to both sides) 3d$\gt$35 (divide both sides by 3) d$\gt$ $\frac{35}{3}$ d$\lt$−7 or d$\gt$ $\frac{35}{3}$
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