Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 3 - Solving Inequalities - 3-7 Absolute Value Equations and Inequalities - Practice and Problem-Solving Exercises: 24

Answer

$d=-8$ or $d=0$

Work Step by Step

$2|d+4|=8\longrightarrow$ divide each side by 2 $2|d+4|\div2=8\div2\longrightarrow$ divide $|d+4|=4\longrightarrow$ definition of absolute value $d+4=-4$ or $d+4=4\longrightarrow$ subtract 4 from each part $d+4-4=-4-4$ or $d+4-4=4-4\longrightarrow$ subtract $d=-8$ or $d=0$
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