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

If we pluck in the points into the inequalities, we can see which one works if it makes both of the inequalities true. By doing this, only the 2nd answer works.

-5 < 0 + 4 =
-5 < 4 [This is true]
Now we do the other problem-
-5 < -2(0) + 2 =
-5 < -2 + 2 =
-5 < 0 [This is also true]

Answer 2

ohh okay :) thank you