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: 6

Answer

Interval Notation: $(-10,2)$ Graph:

Work Step by Step

$|x+4| \lt 6$ By the absolute value inequality property, this is equivalent to $-6 \lt x+4 \lt 6$ Using inequality properties, add $-4$ to all parts, $-6-4 \lt x+4-4 \lt 6-4$ $-10 \lt x \lt 2$ Interval Notation: $(-10,2)$
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