The correct option is D. I mean the last option The equation of the vertical line is
x=-3
So its inequality is
x<-3
The solid line passes through (0,-1), (-1,0)
So its inequality is
y≤-x-1
Testing (-4,0) for We shade to the left.
Testing the origin for yields This is false so we shade the left half plane of the solid line. The intersection of the two region is the region in option D