Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.8 Absolute Value Equations and Inequalities - 1.8 Exercises - Page 168: 53

Answer

This inequality has no solution, because an absolute value expression will never be less than a negative number.

Work Step by Step

$|3x-7|+1\lt-2$ Take $1$ to the right side: $|3x-7|\lt-2-1$ $|3x-7|\lt-3$ This inequality has no solution, because an absolute value expression will never be less than a negative number.
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