Which system of linear inequalities is graphed? (choices are in the picture)

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