# How do you solve the inequality 8-k/2< -12?

Nov 23, 2015

$k > 40$

#### Explanation:

Solve for $k$ as if this were a typical equation.

$8 - \frac{k}{2} < - 12$

Subtract $8$ from both sides.

$- \frac{k}{2} < - 20$

Multiply both sides by $- 2$. BE CAREFUL! When multiplying or dividing by a negative number in an inequality, FLIP THE DIRECTION of the less than/greater than sign.

$k \textcolor{red}{>} 40$