Question

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

Answer 1

(0,0)

Answer 2

These are the answers
(1, 0)
(-5, -2)
(0, -3)
(-1, 5)

Answer 3

Well plug each point into both inequalities and find which are true.

Answer 4

0<2(1)+4
0<6 T
0<-2(1)+2
0<0 F

Answer 5

Try the next point.
-2<2(-5)+4
-2<-6 F
Try the next pair.

Answer 6

-3<2(0)+4
-3<4 T
-3<-2(0)+2
-3<2 T

Answer 7

Choose that one. It makes both sentences true.