Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Section 2.7 - Absolute Value Inequalities - Exercise Set - Page 105: 17

Answer

Interval Notation: $(-∞,-24]∪[4,∞)$ Graph:

Work Step by Step

$|x+10| \geq 14$ By the absolute value inequality property, $|x+10| \geq 14$ is equivalent to $x+10 \leq -14$ or $x+10 \geq 14$ Using inequality properties, add $-10$ to both sides of the inequalities. $x+10-10 \leq -14-10$ or $x+10-10 \geq 14-10$ $x \leq -24$ or $x \geq 4$ Interval Notation: $(-∞,-24]∪[4,∞)$
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