Which graph represents the solution set of the system of inequalities?

Answer:
D (right-down graph)
Step-by-step explanation:
y = ax+b - linear function,
a>0 - ascending
a<0 - descending
[tex]y=\frac13x-3[/tex] - ascending function, because [tex]a=\frac13[/tex], so a>0
[tex]y=-3x-3[/tex] - descending function, cause [tex]a=-3[/tex], so a<0
We refuse both graphs on the left side, these are two ascending functions
[tex]y\ge\frac13x-3[/tex] is the area above the ascending function [tex]y=\frac13x-3[/tex]
[tex]y<-3x-3[/tex] is the area below the descending function
This causes that D (right-down graph) is a correct answer