Final answer:
None of the given options A, B, C, or D are correct as they do not result in true statements when the coordinates (-3,2) are substituted into them.
Step-by-step explanation:
The student has asked to write a system of inequalities for which (-3,2) is a possible solution.
We can evaluate each option with the coordinates (-3,2) to identify which inequality makes a true statement:
- Option A: 3x - 5y = 11 becomes 3(-3) - 5(2) = -9 - 10 = -19, which is not equal to 11.
- Option B: 2x + 4y = -10 becomes 2(-3) + 4(2) = -6 + 8 = 2, which is not equal to -10.
- Option C: -2x + 3y = 5 becomes -2(-3) + 3(2) = 6 + 6 = 12, which is not equal to 5.
- Option D: x - 2y = 8 becomes -3 - 2(2) = -3 - 4 = -7, which is not equal to 8.
Therefore, none of the given options A, B, C, or D are correct as none result in a true statement when (-3,2) is substituted into them.