# How do you solve the inequality: 4x - 5 < -17 and 5x +6 > 31?

Aug 16, 2015

Solve the system:
4x - 5 < -17 (1)
5x + 6 > 31 (2)

#### Explanation:

This is not a system of 2 linear inequalities. So we solve the inequalities separately:
(1) gives --> 4x < -12 --> x < - 3
Answer: x < - 3
(2) gives --> 5x > 25 --> x > 5
Answer: x > 5