Answer:
Region B
Step-by-step explanation:
we have
[tex]y\leq x-2[/tex] ----> inequality 1
The solution of the inequality 1 is the shaded area below the solid line 1
[tex]y\geq \frac{1}{4}x-4[/tex] ----> inequality 2
The solution of the inequality 2 is the shaded area above the solid line 2
so
The solution of the system of inequalities is the shaded area below the solid line 1 and above the solid line 2
therefore
The solution is the region B
see the attached figure to better understand the problem
