Answer:
B.
[tex]y \leqslant 3x \: and \: y \: > \: \frac{1}{4}x + 4[/tex]
Step-by-step explanation:
The boundary line passing the origin has equation:
[tex]y = 3x[/tex]
Since the lower half plane is shaded and the boundary line is solid, the corresponding linear inequality is:
[tex]y \leqslant 3x[/tex]
The dashed line has equation,
[tex]y = \frac{1}{4}x + 4[/tex]
Since the upper half plane is shaded, it is corresponding inequality is
[tex]y < \frac{1}{4}x + 4[/tex]
