To find which letter is located at the opposite of \(1 \frac{1}{2}\), we first need to identify the position of \(1 \frac{1}{2}\) on the number line.
\(1 \frac{1}{2}\) is equal to \(1.5\).
The opposite of \(1.5\) in terms of number line values is \(-1.5\).
Next, we need to identify the values of the letters A through F based on the description provided:
- A is halfway between 2 and 3, which is \(2.5\).
- B is at \(4\).
- C is halfway between \(-2\) and \(-1\), which is \(-1.5\).
- D is halfway between \(-3\) and \(-2\), which is \(-2.5\).
- E is at \(-5\).
- F is halfway between \(0\) and \(1\), which is \(0.5\).
Now we can summarize the positions:
- A: \(2.5\)
- B: \(4\)
- C: \(-1.5\)
- D: \(-2.5\)
- E: \(-5\)
- F: \(0.5\)
Since we are looking for the letter corresponding to \(-1.5\), we see that:
- C is at \(-1.5\).
Therefore, the letter located at the opposite of \(1 \frac{1}{2}\) is C.