# How do you graph and solve |5-x|<7?

May 31, 2016

$- 2 < x < 12$. The graph is the segment of the x-axis in between x = -2 and x = 12.
$5 - x < 7 \mathmr{and} - \left(5 - x\right) < 7$
Separately, these make $x > - 2 \mathmr{and} x < 12$