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: 22

Answer

Interval Notation: $(-∞,∞)$ Graph:

Work Step by Step

$|4x-11| \gt -1$ This absolute value inequality is always true for all values of $x$, because the absolute value expression is always positive or zero and also greater than $-1$. So, the solution set is $\{ x|x $ is a real number $ \}$. Interval notation is $(-∞,∞)$.
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