Question

In y > x + 4, where can we find the solution set?

Answer 1

Given x+y≥4

Let us draw the graph of x+y=4

Put x=0⟹0+y=4⟹y=4

(0,4) is the solution set of x+y=4

Put y=0⟹x+0=4⟹x=4

(4,0) is the solution set of x+y=4

⟹(4,0),(0,4) lies on the line x+y=4

(0,0) lies in the left side area of x+y=4

Let us check that (0,0) lies in the area of solution set of x+y≥4

x+y=0+0<4

⟹(0,0) does not lies in the area of solution set of x+y≥4

∴ solution set is the area which right side of x+y=4