Question

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

Answer 1

All you have to do is try both of the equations by filling in the variables with the choices. 

-5 > -3 (2) + 3
-5 > -5 + 3
-5 > -2

-5 > (2) + 2
-5 > 4
So, this does not work.
--------------------------------------------
5 > -3 (-2) + 3
5 > 5 + 3
5 > 8

5 > (-2) + 2 
5 > 0
So, this does not work.
-------------------------------------------
5 > -3 (2) + 3
5 > -5 + 3
5 > -2

5 > 2 + 2
5 > 4
So, this works.
-----------------------------
-5 > -3 (-2) + 3
-5 > 5 + 3
-5 > 8

-5 > (-2) + 2
-5 > 0
So, this does not work.

The answer would be C.

I hope this helps!