Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Prerequisites - P.1 - Review of Real Numbers and Their Properties - Exercises - Page 12: 37

Answer

-1

Work Step by Step

To find the absolute value of a given expression we need to define what is the absolute value function. Absolute value of a number is its distance from the origin. |x| = 0 if x = 0; |x| = -x if x < 0; |x| = x if x > 0; $|x+2| \div (x+2)$ = $-(x+2)\div (x+2)$ = -1 as |x+2| = -(x+2) when x < -2 since x < -2 implies (x+2) < 0 Hence |x+2| = -(x+2) as (x+2) < 0
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