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: 28

Answer

$x=-5$ or $x=1$

Work Step by Step

$3|x+2|+4=13\longrightarrow$ subtract 4 from each side $3|x+2|+4-4=13-4\longrightarrow$ subtract $3|x+2|=9\longrightarrow$ divide each side by 3 $3|x+2|\div3=9\div3\longrightarrow$ divide $|x+2|=3\longrightarrow$ definition of absolute value $x+2=-3$ or $x+2=3\longrightarrow$ subtract 2 from each part $x+2-2=-3-2$ or $x+2-2=3-2\longrightarrow$ subtract $x=-5$ or $x=1$
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