# How do you solve the inequality -2k+12<30?

Sep 30, 2017

$k > - 9$

#### Explanation:

To solve you need to get the k by itself.
To do this we can start by subtracting 12 from both sides.

$- 2 k + 12 - 12 < 30 - 12$
$- 2 k < 18$

Now we need to divide by -2. BUT as this is an inequality the inequality sign needs to be flipped when you divide both sides by a negative number.

$\frac{- 2 k}{- 2} > \frac{18}{- 2}$
$k > - 9$