If A = {1,8,6,3,7,0} and B = {3,8,1,6,7}, then `A -B` = _______

Answer

To solve the problem of finding \( A - B \) where \( A = \{1, 8, 6, 3, 7, 0\} \) and \( B = \{3, 8, 1, 6, 7\} \), follow these steps:

### Step-by-Step Solution:

1. **Identify the Sets**:
- Set \( A = \{1, 8, 6, 3, 7, 0\} \)
- Set \( B = \{3, 8, 1, 6, 7\} \)

2. **Understand the Operation \( A - B \)**:
- The operation \( A - B \) means we need to remove all elements from set \( A \) that are also present in set \( B \).

3. **List the Elements of Set \( A \)**:
- The elements of set \( A \) are \( 1, 8, 6, 3, 7, 0 \).

4. **Remove Elements of Set \( B \) from Set \( A \)**:
- Check each element of \( A \):
- **1**: Present in \( B \) → Remove it.
- **8**: Present in \( B \) → Remove it.
- **6**: Present in \( B \) → Remove it.
- **3**: Present in \( B \) → Remove it.
- **7**: Present in \( B \) → Remove it.
- **0**: Not present in \( B \) → Keep it.

5. **Write the Remaining Elements**:
- After removing all elements that are in \( B \), the only element left in \( A \) is \( 0 \).

6. **Final Result**:
- Therefore, \( A - B = \{0\} \).

### Final Answer:
\[ A - B = \{0\} \]