Answer:
Option A.
Step-by-step explanation:
First related equation passes through the points (0,2) and (4,0). So, the equation of line is



Multiply both sides by 2.


The shaded region is below the solid line. So the sign of inequality is ≤.
....(1)
second related equation passes through the points (0,-2) and (2,4). So, the equation of line is



The shaded region is above the solid line. So the sign of inequality is ≥.
....(2)
The system of equations contains equation (1) and (2).
Therefore, the correct option is A.