Answer with Step-by-step explanation:
We are given system of inequalities:
x-3y>3
2x-y<4
The point (-1,0) lies in the shaded region in graph W
Putting (-1,0) in x-3y>3
-1>3 which is a contradiction
Hence, W is not the graph of this system of inequalities.
The point (2,0) lies in the shaded region in graph Y
Putting (2,0) in x-3y>3
2>3 which is a contradiction
Hence, Y is not the graph of this system of inequalities.
The point (0,2) lies in the shaded region in graph Z
Putting (0,2) in x-3y>3
-6>3 which is a contradiction
Hence, Z is not the graph of this system of inequalities.
Hence,Graph X shows the solution to the system of inequalities
x-3y>3
2x-y<4