# How do you solve -50<7k+6<-8?

Oct 29, 2016

$- 8 < k < - 2$

#### Explanation:

Isolate 7k in the middle by subtracting 6 from all 3 parts.

$- 50 - 6 > 7 k \cancel{+ 6} \cancel{- 6} < - 8 - 6$

$\Rightarrow - 56 < 7 k < - 14$

To solve for k, divide all 3 parts by 7.

$\frac{- 56}{7} < \frac{\cancel{7} k}{\cancel{7}} < \frac{- 14}{7}$

$\Rightarrow - 8 < k < - 2$