# How do you solve and graph -13m > -26 ?

Jul 21, 2018

$m < 2$

#### Explanation:

To solve this, divide both sides by $\textcolor{b l u e}{- 13}$. However, when we multiply or divide a negative value, the inequality sign switches to its opposite. In this case, it would change to $<$.

Therefore:
$\frac{- 13 m}{\textcolor{b l u e}{- 13}} \textcolor{b l u e}{<} \frac{- 26}{\textcolor{b l u e}{- 13}}$

$m < 2$

This can be said as "$m$ is less than $2$."

Here's a graph of it on a number line:

(mathwarehouse.com)

The open circle on the $2$ reveals that it cannot be $2$ (but anything less than it).

Hope this helps!