# How do you solve and graph the compound inequality -1 < 2x + 5 < 13 ?

Apr 29, 2015

You first try to get the $x$ 'free'

Subtract $5$ everywhere:
$- 6 < 2 x < 8$

Now divide everything by $2$
$- 3 < x < 4$

In the graph every $y$-value between -1 and 13 is valid:
graph{2x+5 [-24.9, 26.47, -4.01, 21.63]}