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

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- Dec 11th 2007, 05:55 AMlovely08complete the inequality give the solution set
-23<or equal to 3x-8 and 9x-8<-17

- Dec 11th 2007, 06:03 AMcolby2152
$\displaystyle -23 \le 3x-8$

$\displaystyle -15 \le 3x$

$\displaystyle x \ge -5$

$\displaystyle 9x-8<-17$

$\displaystyle 9x<-25$

$\displaystyle x<\frac{-25}{9}$

Combine these two together and you have the following constraint:

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