Question

How do you solve `-5abs(x+13)+34<=9`?

Answer 1

Solve`-5|x + 13| + 34 <= 9`

Explanation:

`5|x + 13| >= 34 - 9`

`|x + 13| >= 5`

Separate solving into 2 cases.

a.`(x + 13) > 5 -> x > 5 - 13 -> x >= - 8`

b.`- (x + 13) = - x - 13 > 5 --> x <= -13 - 5 -> x <= - 18`
Graph

========|-18-----------------|-8=====|0=========