Graphing a System of Linear inequalities?

Question

Could someone explain how to do this because I'm totaly lost.
Since I don't know how to do this yet i'll do a sample problem so you can show me how to solve it.

y is greater or equal to x-2
x+y<3

Answer 1

Okay. Take those two inequalities and make them equations

y = x -2
x + y = 3

Now graph both of those lines, using whatever method you prefer.

Then turn the equations back into inequalities and do test points to decide which side of the line you should shade.

The part at which the two meet is the answer.