# How do you solve and graph the compound inequality -9 < -2s - 1<=-7 ?

Jul 3, 2015

Solve: $- 9 < - 2 s - 1 \le - 7$

#### Explanation:

$- 9 + 1 < - 2 s < + - 7 + 1 - \to - 8 < - 2 s \le - 6$

$2 s < 8 \to s < 4$

$2 s \ge 6 \to s \ge 3$

-------------------|0 --------------|3=====|4-------------

Note. The end (critical) point (3) is included in the solution set.
Answer: half closed interval [3, 4)