The set `(A-B) cup (B-A)` is equal to

Options

A. `[A-(A cap B] cap [B -(A cap B)]`
B. `(Auu B)-(A nn B)`
C. `A-(A cap B)`
D. `bar(A cap B) - A cup B`

Answer

To solve the problem, we need to find the value of the set \( (A - B) \cup (B - A) \).

### Step-by-Step Solution:

1. **Define the Sets**:
Let's assume:
- Set \( A = \{1, 2\} \)
- Set \( B = \{2, 3\} \)

2. **Calculate \( A - B \)**:
- \( A - B \) means we take the elements in \( A \) that are not in \( B \).
- From \( A = \{1, 2\} \) and \( B = \{2, 3\} \), we see that \( 2 \) is in both sets.
- Therefore, \( A - B = \{1\} \).

3. **Calculate \( B - A \)**:
- \( B - A \) means we take the elements in \( B \) that are not in \( A \).
- From \( B = \{2, 3\} \) and \( A = \{1, 2\} \), we see that \( 2 \) is in both sets.
- Therefore, \( B - A = \{3\} \).

4. **Combine the Results**:
- Now we need to find the union of the two sets: \( (A - B) \cup (B - A) \).
- We have \( A - B = \{1\} \) and \( B - A = \{3\} \).
- Thus, \( (A - B) \cup (B - A) = \{1\} \cup \{3\} = \{1, 3\} \).

5. **Conclusion**:
- The final result is \( (A - B) \cup (B - A) = \{1, 3\} \).