Graph on a plane

Question

graph on a plane

 

x>y-4

Answer 1

The step is to isolate the variable y by adding 4 to both sides of the inequality in which is:

 

y<x+4

 

Next graph the line y = x+4 as a dashed line indicating excluding any point on the line traced on the xy plane.

 

Since y is less than x+4, then the shaded region would be below the line y = x+4. One tip in testing the inequality to being true is to pick a point on the xy plane, such as (0,0) to see if your guess of the shading would satisfy the inequality. Hence, 0<0+4 in which implies 0<4. Therefore, the shading below the line y = x+4 satisfy the original inequality.