# How do you solve -2m>100?

Aug 3, 2017

See a solution process below:

#### Explanation:

Divide each side of the inequality by $\textcolor{b l u e}{- 2}$ to solve for $m$ while keeping the inequality balanced. However, because we are dividing or multiplying an inequality by a negative number we need to reverse the inequality operator:

$\frac{- 2 m}{\textcolor{b l u e}{- 2}} \textcolor{red}{<} \frac{100}{\textcolor{b l u e}{- 2}}$

$\frac{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{- 2}}} m}{\cancel{\textcolor{b l u e}{- 2}}} \textcolor{red}{<} - 50$

$m < - 50$