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: 18

Answer

Interval Notation: $(-∞,7]∪[11,∞)$ Graph:

Work Step by Step

$|x-9| \geq 2$ By the absolute value inequality property, this is equivalent to $x-9 \leq -2 $ or $x-9 \geq 2$ Using inequality properties, add $9$ to both sides of the inequalities. $x-9+9 \leq -2+9 $ or $x-9 +9 \geq 2+9 $ $x \leq 7 $ or $x \geq 11$ Interval Notation: $(-∞,7]∪[11,∞)$
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