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

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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