ANSWER
[tex]y \leqslant \frac{1}{3}x - 4[/tex]
EXPLANATION
First, find the equation of the boundary line which passes through the point
(3,-3) and has a y-intercept of -4.
The slope of this line is,
[tex]m = \frac{ - 4 - - 3}{0 - 3} = \frac{1}{3} [/tex]
The equation of this line is
[tex]y = \frac{1}{3}x - 4[/tex]
Since the lower half plane is shaded and the boundary line is solid. The required inequality is
[tex]y \leqslant \frac{1}{3}x - 4[/tex]
