Algebra 1: Common Core (15th Edition)

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

Chapter 3 - Solving Inequalities - 3-8 Unions and Intersections of Sets - Practice and Problem-Solving Exercises - Page 220: 49


x=4 or x=−4

Work Step by Step

We know that when we evaluate an absolute value, the result will be positive, regardless of the sign of what is inside of the absolute value bars. Thus, we consider that the variable could be either a positive or a negative number. Furthermore, the definition of an absolute value tells us that if the absolute value of x is 4, then x is either 4 or -4.
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