#### Answer

$(-∞, ∞)$

#### Work Step by Step

Here, the absolute value is always positive, meaning that any value of $x$ will make this inequality true.
$1\lt|x-\frac{11}{3}|+\frac{7}{3}$
$|x-\frac{11}{3}|\gt\frac{-4}{3}$
$(-∞, ∞)$

Published by
Pearson

ISBN 10:
0-32178-228-3

ISBN 13:
978-0-32178-228-1

$(-∞, ∞)$

You can help us out by revising, improving and updating this answer.

Update this answerAfter you claim an answer you’ll have **24 hours** to send in a draft. An editor
will review the submission and either publish your submission or provide feedback.