# How do you solve and graph 10x + 9 > 3x - 1?

Sep 10, 2015

$x > - \frac{10}{7}$
graph{10x+9 > 3x-1 [-7.9, 7.9, -3.95, 3.95]}

#### Explanation:

$10 x + 9 > 3 x - 1$

$\rightarrow \textcolor{w h i t e}{\text{XXX}} 10 x > 3 x - 10$

$\rightarrow \textcolor{w h i t e}{\text{XXX}} 7 x > - 10$

$\rightarrow \textcolor{w h i t e}{\text{XXX}} x > - \frac{10}{7}$

To graph (on the Cartesian plane) draw a dashed vertical line (dashed to indicate that values on the line are not included in the solution set) at $x = - \frac{10}{7}$;
then shade the area to the right (where $x > - \frac{10}{7}$) to indicate inclusion in the solution set.