Question

How do you graph `x > y + 5`?

Answer 1

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 `(0,-5)`

If `x=5`; `y=0`
Point `(5,0)`

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]}