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

Let's check choice A

Answer 2

y > -3x + 3

-5 > -3*(2) + 3 ... plug in (2,-5), ie plug in x = 2 and y = -5

-5 > -6 + 3

-5 > -3

Since this last inequality is false, this means that (2,-5) is NOT in the solution set

Answer 3

so choice A is out

Answer 4

you do the same for each choice (to each inequality)

any points that make both inequalities true are in the solution set