Question

The graph below shows the solution set to which system of inequalities?

Answer 1

We have that

using a graph tool
I proceed to verify each case to get the answer
see the attached figure

case A) 
y> 2x-4    y>=-x     y<=3

case B) 
y> 2x-4    y>=-x     y<3

case C) 
y< 2x-4    y>=-x     y<=3

the answer is the option A)
y> 2x-4    y>=-x     y<=3