# How do you graph the inequality 5x-2y>=10?

May 20, 2016

Draw the straight line though $\left(0 , - 5\right) \mathmr{and} \left(2 , 0\right)$. Shade the region below this line, in the negative y-direction. Enter therein $5 x - 2 y > 10$.

#### Explanation:

Rearranging, $y < 2.5 x - 5$.

For any point (x, y) beneath this straight line that passes through
(0, -5) and (2, 0), $y < 2.5 x - 5$, and accordingly, $5 x - 2 y > 10$

,Draw the straight line though $\left(0 , - 5\right) \mathmr{and} \left(2 , 0\right)$. Shade the region below this line, in the negative y-direction. Enter therein $5 x - 2 y > 10$.