# How do you graph the inequality x-2y> 4?

Oct 21, 2015

Draw a dashed (to indicate it is not included in the solution) line for $x - 2 y = 4$;
shade the side that does not include the origin (since $\left(x , y\right) = \left(0 , 0\right)$ is not a valid solution for $x - 2 y > 4$)

#### Explanation:

Solving $x - 2 y = 4$ for some arbitrary values of $x$
(I chose $x = 0$ and $x = 4$)

$x = 0 \rightarrow y = - 2$
$x = 4 \rightarrow y = 0$

Draw a line through the points $\left(0 , - 2\right)$ and $\left(4 , 0\right)$ (remember to make a "dashed line" because we do not want it included in the final solution.

Since $\left(x , y\right) = \left(0 , 0\right)$ is not a valid solution for $x - 2 y > 4$ shade the side of the line that does not include $\left(0 , 0\right)$ to show the final solution area.