Which graph represents the solution set of the system of inequalities? {−2x+y≤4 {y> x+2

The correct answer is the graph in the bottom left. The one below the first graph.

Testing the origin for


yields

This is true so we shade the lower half plane
of

Testing the origin for

yields


Which is false.

So we shade the upper half plane of

which is the dashed line.

If this are the options:

a . b.
c. d.

Then the graph corresponding to option C is what I am referring to.