# Thread: complete the inequality give the solution set

1. ## complete the inequality give the solution set

-23<or equal to 3x-8 and 9x-8<-17

2. Originally Posted by lovely08
-23<or equal to 3x-8 and 9x-8<-17
$-23 \le 3x-8$
$-15 \le 3x$
$x \ge -5$

$9x-8<-17$
$9x<-25$
$x<\frac{-25}{9}$

Combine these two together and you have the following constraint:

$-5 < x \le \frac{-25}{9}$