Answer:
Region D
Explanation:
Two given inequlities are x+3y<-3
x>3
Graph of the two equations are already given
Now we do the shading part
To shade each inequality we use test point (0,0)
Plug in x=0 and y=0
x+3y<-3
0 +0 <-3 false
So we graph the region that does not contain (0,0)
Shade the parts C and D that is below the line x+3y<-3
for shading x>3, shade the part that is right of x=3 because we have > symbol
shade the parts B and D
In both graphs D is the common shaded part
So Region D is the solution to the given system of inequalities