Question

Which of the following points lie in the solution set to the following system of inequalities?

y > -3x + 3
y > x + 2

(2, -5)

(-2, 5)

(2, 5)

(-2, -5)

Answer 1

you can substitute the x and y on the equation to see which one is true, for example, the first equation you have y > -3x +3, lets check point (2,-5)
-5 > -3(2) + 3
-5>-6+3
-5>-3 that is false because -3>-5, so try the others