# How do you solve  -12<6+2a<8 ?

Jul 4, 2016

$- 9 < a < 1.$

#### Explanation:

Given that $- 12 < 6 + 2 a < 8$

Adding $- 6$, $- 12 - 6 < - 6 + 6 + 2 a < - 6 + 8 ,$ i.e., $- 18 < 2 a < 2.$

Now we multiply the inequality by$\frac{1}{2} ,$ noting that $\frac{1}{2}$ being $+ v e$, its order will not be changed.

Hence, $- 18 \cdot \frac{1}{2} < 2 a \cdot \frac{1}{2} < 2 \cdot \frac{1}{2} , \Rightarrow - 9 < a < 1.$,