Algebra 1

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

Chapter 3 - Solving Inequalities - 3-8 Unions and Intersections of Sets - Mixed Review - Page 220: 50


n=2 or n=-2

Work Step by Step

$|n|+7=9\longrightarrow$ subtract 7 from each side $|n|+7-7=9-7\longrightarrow$ subtract $|n|=2\longrightarrow$ definition of absolute value 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. n=2 or n=-2
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