Question

Which of the following points lie in the solution set to the following system of inequalities?
y > -3x + 3
y > x + 2

Answer 1

and the following points are? Just plug the x and y values into the inequalities. If the statement you get is true, then the point is in the solution set.

Answer 2

(2, -5)
(-2, 5)
(2, 5)
(-2, -5)

Answer 3

Start with the first point (2,-5), where x=2 and y=-5.

Is -5 > -3(2)+3 = -3? NO
Is -5> 2+2? No

Since neither of the two statements is true for (2,-5), this point isn't in the set. Now do the same for the other three points, if you get two yes's, then the point is in the set.