Answer:
B is the only solution
Step-by-step explanation:
These inequalities are shown in the attached picture. Which can be obtained drawing y > -2 (an horizontal line at y=-2, the region is above). and y<= 4-x, a line with a negative slope of -1 and intercept point of 4.
Any ordered pair, located inside the interception between these two regions is a solution of the system.
A. is Outside, below the horizontal line
B. is not clear by graph, hence, lets evaluate it in both inequalities
3>-2 (satisfies)
1+3<=4 (satisfies)
Hence B is a solution.
C. Is outside, we can evaluate it just to make sure:
5>-2 (satisfies)
1+5<= 4 (not true)
Hence C is not a solution.
D. is outside
