# How do you solve the inequality  1/2 (2d + 3) < -8?

Nov 29, 2015

$d < - 9.5$

#### Explanation:

$\frac{1}{2} \left(2 d + 3\right) < - 8$

$2 \left[\frac{1}{2} \left(2 d + 3\right)\right] < 2 \left(- 8\right)$

$2 d + 3 < - 16$

$2 d + 3 - 3 < - 16 - 3$

$2 d < - 19$

$d < - \frac{19}{2}$

$d < - 9.5$

hope that helped