# How do you solve 3( m + 8) - 5m > - 2?

May 2, 2018

$m < 13$

#### Explanation:

$\text{distribute parenthesis}$

$3 m + 24 - 5 m > - 2$

$\Rightarrow - 2 m + 24 > - 2$

$\text{subtract 24 from both sides}$

$- 2 m \cancel{+ 24} \cancel{- 24} > - 2 - 24$

$\Rightarrow - 2 m > - 26$

$\text{divide both sides by } - 2$

$\textcolor{b l u e}{\text{remember to reverse the inequality sign}}$

$\Rightarrow m < 13 \text{ is the solution}$

$m \in \left(- \infty , 13\right) \leftarrow \textcolor{b l u e}{\text{in interval notation}}$