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

Question

2100 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-07-03T03:22:27

Solve: $- 9 < - 2 s - 1 \leq - 7$ $-9 < -2s - 1 <= - 7$

$- 9 + 1 < - 2 s < + - 7 + 1 - \to - 8 < - 2 s \leq - 6$ $- 9 + 1 < -2s <+ -7 + 1 --> - 8 < -2s <= - 6$

$2 s < 8 \to s < 4$ $2s < 8 -> s < 4$

$2 s \geq 6 \to s \geq 3$ $2s >= 6 -> s >= 3$

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

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

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