`6lemlt12`
`{:("Quantity A","Quantity B"),(9-m,m-9):}`

Options

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the infromation given.

Answer

To solve the problem, we need to analyze the given inequalities and the expressions for Quantity A and Quantity B.

### Step-by-Step Solution:

1. **Understand the given inequality**:
The inequality provided is \( 6 \leq m < 12 \). This means that \( m \) can take any value starting from 6 (inclusive) up to but not including 12.

2. **Define Quantity A and Quantity B**:
- Quantity A: \( 9 - m \)
- Quantity B: \( m - 9 \)

3. **Evaluate Quantity A and Quantity B at the endpoints of the interval**:
- **When \( m = 6 \)**:
- Quantity A: \( 9 - 6 = 3 \)
- Quantity B: \( 6 - 9 = -3 \)
- Here, Quantity A (3) is greater than Quantity B (-3).

- **When \( m = 10 \)** (a value within the interval):
- Quantity A: \( 9 - 10 = -1 \)
- Quantity B: \( 10 - 9 = 1 \)
- Here, Quantity B (1) is greater than Quantity A (-1).

4. **Evaluate another value within the interval**:
- **When \( m = 11 \)**:
- Quantity A: \( 9 - 11 = -2 \)
- Quantity B: \( 11 - 9 = 2 \)
- Here, Quantity B (2) is greater than Quantity A (-2).

5. **Conclusion**:
From the evaluations, we see that:
- For \( m = 6 \), Quantity A is greater.
- For \( m = 10 \), Quantity B is greater.
- For \( m = 11 \), Quantity B is greater.

Since we have found instances where Quantity A is greater and instances where Quantity B is greater, we cannot definitively say which quantity is always greater based on the information given.

### Final Answer:
The relationship between Quantity A and Quantity B cannot be determined from the information given. Therefore, the correct option is:
**Option 4: The relationship cannot be determined from the information given.**