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 213: 84


x=40 or x=-16

Work Step by Step

|$\frac{x}{4}$-3|=7 $\frac{x}{4}$-3=7 or $\frac{x}{4}$-3=-7 $\frac{x}{4}$=10 or $\frac{x}{4}$=-4 x=40 or x=-16 Check the solutions: $\frac{40}{4}$-3=7 or $\frac{-16}{4}$-3=-7 10-3=7 or -4-3=-7 7=7 or -7=-7 So x=40 or x=-16.
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