Answer: B
Explanation:
Insert the values of x and y for any point in the heavily shaded region and see if it satisfies both inequalities
We can see that the origin (0,0) is inside the shaded region so use these values because they are the easiest to compute
Plug in x = 0 and y = 0 into the first inequality
0 + 2.0 = 0 which is greater than 5.
So we can eliminate both A and D since they both contain incorrect inequalities
Now, test the second inequality with x = 0 and y = 0
For B we get
3.0 + 0 = 0 which is indeed less than 4
C is not applicable since 0 is not greater-than-equal to 4
Hence B is the correct solution
This can be verified using a graphing tool (see image)