Question

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

(1, 0)

(-5, -2)

(0, -3)

(-1, 5)

Answer 1

y < 2x + 4
y < -2x + 2
(1,0) -> 0<6 0<0
(-5,-2) -> -2<-6 -5<6
(0,-3) -> -3<4 -3<2
(-1,5) -> 5<2 5<4

(0,-3) is the only one that both are correct.

Answer 2

so is (0,-3)?

Answer 3

Yes.

Answer 4

thanks