Question

Which point lies in the solution set for the following system of inequalities?
y < x + 4
y < -2x + 2

(2, 3)

(0, -5)

(0, 5)

(1, 0)

Answer 1

Plug each point into each equality. The point that makes true statements of both of them is the one you want.

Answer 2

3<2+4 T
3<-4+2 F

-5<0+4 T
-5 < 0+2 T

Both true, must be (0,-5)