# How do you graph x > y + 5?

May 21, 2015

Problem: Graph $x > y + 5$

Get $y$ on the left side.

$- y > - x + 5$

Multiply both sides by $- 1$. This will reverse the inequality.

$y < x - 5$

Temporarily change the inequality to an equality. Determine two points on the line.

If $x = 0$; $y = - 5$
Point $\left(0 , - 5\right)$

If $x = 5$; $y = 0$
Point $\left(5 , 0\right)$

Graph $y < x - 5$.

Plot the points and draw a dashed line through the points to show that the line is not part of the inequality. Then shade in the area below the line.

graph{y < x-5 [-10.07, 9.93, -7.94, 2.06]}