Question

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

Answer 1

The answer is B hope this helps

Answer 2

The best way is to check all answers. lets check answer A first. 
Take the equation y > -3x +3 and substitute 2 for x and -5 for y.
(-5)> -3(2) + 3 
-5 > -6 + 3 
-5 > -3 
we know this is not true so A is not the answer. because it is an invalid solution. 
Lets check B 
(-2)>-3(5) + 3 
-2 > -15 +3 
-2 > -12 
we know this is true so it is a valid solution Now we have to check the other equation with the same point. 
y> x +2 
5> (-2)+2 
5> 0 
we know this is true so its a valid solution.
This means B the correct answer.