Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Appendix D - Exercise Set: 76

Answer

13 > x > -13

Work Step by Step

According to the absolute value definition which states that: |x| = x if x ≥ 0 |x| = -x if x ≤ 0 Therefore according to the definition x is equal to both positive and negative versions of 13. Therefore x is less than 13 when it is numerically less than 13, until entering the negative number line at (-1). However, we know that an absolute value is always positive, therefore x effectively increases. For that reason, x cannot be less than -13.
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