Question

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

y < -3x + 3
y < x + 2

(1, -5)

(1, 5)

(5, 1)

(-1, 5)

Answer 1

you can plug the points into the inequalities to get the answer.
for instance try plugging (1,5) into y<x+2 and you get
5<1+2
clearly this isn't true so you rule out that answer.
Plug in the solutions until you find the one that works for both inqualities.