# How do you solve and graph -8r < 16 ?

Sep 25, 2016

$r > - 2$

#### Explanation:

$- 8 r \textcolor{red}{<} 16$

We will need to make the r term positive.
If you multiply or divide an inequality by a negative number, the inequality sign in the middle changes around.

$\frac{- 8}{- 8} r \textcolor{red}{>} \frac{16}{- 8}$

$r > - 2$

On a number line graph this will be shown as an open circle on -2 (because -2 is NOT included in the solution) and a line drawn to the right.

On the Cartesian Plane, a dotted vertical line is drawn at x=-2 and the wanted area to the RIGHT of the line is shaded.

graph{x > -2 [-5, 5, -2.5, 2.5]}