Answer
FALSE
Work Step by Step
When $x=0,$ the given inequality is satisfied. That is, the given inequality, $|4x+9|\gt-5,$ has at least one solution. Hence, the given statement is $\text{ FALSE .}$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 9 - Inequalities and Problem Solving - 9.3 Absolute-Value Equations and Inequalities - 9.3 Exercise Set - Page 599: 7
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