# How do you solve abs(7x+5)<23?

Apr 20, 2017

$x \in \left(- 4 , \frac{18}{7}\right)$
By the property: $| a | < b = \implies - b < a < b$
$- 23 < 7 x + 5 < 23$
$- 23 - 5 < 7 x < 23 - 5$
$- \frac{28}{7} < x < \frac{18}{7}$