Answer:
Option C.
Step-by-step explanation:
A dashed straight line has a negative slope and goes through (0, 2) and (4, 0).
The given inequality is
![y](https://tex.z-dn.net/?f=y%3C-%5Cdfrac%7B1%7D%7B2%7Dx%2B2)
We need find the point which is a solution to the given linear inequality.
Check the given inequality for point (2, 3).
![3](https://tex.z-dn.net/?f=3%3C-%5Cdfrac%7B1%7D%7B2%7D%282%29%2B2)
This statement is false. Option 1 is incorrect.
Check the given inequality for point (2, 1).
![1](https://tex.z-dn.net/?f=1%3C-%5Cdfrac%7B1%7D%7B2%7D%282%29%2B2)
![1](https://tex.z-dn.net/?f=1%3C1)
This statement is false. Option 2 is incorrect.
Check the given inequality for point (3, -2).
![-2](https://tex.z-dn.net/?f=-2%3C-%5Cdfrac%7B1%7D%7B2%7D%283%29%2B2)
![-2](https://tex.z-dn.net/?f=-2%3C0.5)
This statement is false. Option 3 is correct.
Check the given inequality for point (-1,3).
![3](https://tex.z-dn.net/?f=3%3C-%5Cdfrac%7B1%7D%7B2%7D%281%29%2B2)
![3](https://tex.z-dn.net/?f=3%3C1.5)
This statement is false. Option 4 is incorrect.
Therefore, the correct option is C.