Cho tập hợp số nguyên Z và tập hợp khác rỗng A = (-5; 2-m), với m là tham số thực

To analyze the sets and questions in your document, here is a structured approach to the problems involving set theory:

### Câu 31:
1. **Sets A and B:**
- \( A = (-\infty; 3] \)
- \( B = [-1; 5] \)
- Check the intersections and unions as described.

2. **Intersections and Unions:**
- **a)** \( A \cap B \)
- **b)** \( A \cup B \)
- **c)** \( A \cap B^c \)
- **d)** Determine whether \( B \setminus A \) contains exactly 2 integers.

### Câu 32:
1. **Sets of integers \( \mathbb{Z} \):**
- Consider the set \( A = (-5; 2 - m) \) where \( m \) is a real parameter.

2. **Questions:**
- **a)** Check various intersections with \( \mathbb{Z} \) and how they relate to the set \( (-5; 2 - m) \).
- **b)** Validate the conditions about integers in \( A \cap \mathbb{Z} \).

### Câu 33:
1. **Defining new sets:**
- \( A = [-2; 4] \), \( B = (0; 6) \), \( C = (1; +\infty) \).

2. **Operations:**
- **a)** Find \( A \cap B \).
- **b)** Find \( (A \cap B) \) and \( (A \cap C) \).
- **c)** Interval operations on \( A \cup B \).
- **d)** Determine integers in the intersection \( A \cap B \cap C \).

### Câu 34:
1. **Sets defined with parameter \( m \):**
- Check conditions involving \( A \) and \( B \) and their intersection.
2. **Parts to analyze:**
- **a)** Short description of the sets.
- **b)** Values of \( m \) that lead to non-empty intersections.
- **c)** Values that meet specified integer conditions.

### Câu 35:
1. **Sets A and B:**
- \( A = (-1; 0] \), \( B = (m; m + 7) \).

2. **Decisions to make:**
- Determine conditions and validate statements for each part presented.

For further solutions, I can assist you with specific calculations or logical deductions for each question based on the sets outlined. If you'd like to work through any particular problem or section, please let me know!