For any two sets, prove that:`\ Ann(AuuB)=A`

Explanation

To prove that \( A \cap (A \cup B) = A \) for any two sets \( A \) and \( B \), we can follow these steps:

### Step 1: Understand the Definitions
- **Union of Sets**: The union of two sets \( A \) and \( B \), denoted \( A \cup B \), is the set of elements that are in \( A \), in \( B \), or in both.
- **Intersection of Sets**: The intersection of two sets \( A \) and \( B \), denoted \( A \cap B \), is the set of elements that are in both \( A \) and \( B \).

### Step 2: Write the Expression
We need to prove that:
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