`98ltxlt102`
`103ltylt107`
`{:("Quantity A","Quantity B"),(y-x,|y-x|):}`

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. **Identify the ranges for x and y:**
- From the problem, we know that:
\[ 98 < x < 102 \]
\[ 103 < y < 107 \]

2. **Determine the maximum and minimum values:**
- The maximum value of \( x \) is just under 102, and the minimum value of \( y \) is just over 103. Thus, we can conclude:
\[ x < 102 \quad \text{and} \quad y > 103 \]

3. **Compare y and x:**
- Since \( y \) is always greater than \( x \) (because the smallest \( y \) can be is just over 103 and the largest \( x \) can be is just under 102), we can write:
\[ y - x > 0 \]

4. **Define Quantity A and Quantity B:**
- Quantity A is defined as:
\[ \text{Quantity A} = y - x \]
- Quantity B is defined as:
\[ \text{Quantity B} = |y - x| \]

5. **Evaluate the relationship between Quantity A and Quantity B:**
- Since we established that \( y - x > 0 \), it follows that:
\[ |y - x| = y - x \]
- Therefore, we can conclude:
\[ \text{Quantity A} = \text{Quantity B} \]

6. **Final conclusion:**
- Since both quantities are equal, we can state:
\[ \text{Quantity A} = \text{Quantity B} \]

### Final Answer:
Both quantities are equal.