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If A and B are two given sets, then Ann(...

If A and B are two given sets, then `Ann(AnnB)^(@)` is equal to :

A

A

B

B

C

`phi`

D

`AnnB^(@)`

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The correct Answer is:
To solve the problem, we need to simplify the expression \( A \cap (A \cap B') \), where \( B' \) denotes the complement of set \( B \). ### Step-by-Step Solution: 1. **Understand the Expression**: We start with the expression \( A \cap (A \cap B') \). Here, \( B' \) is the complement of set \( B \). 2. **Apply Associative Law**: According to the associative law of intersection, we can rearrange the terms: \[ A \cap (A \cap B') = (A \cap A) \cap B' \] 3. **Simplify \( A \cap A \)**: The intersection of a set with itself is the set itself: \[ A \cap A = A \] Therefore, we can rewrite the expression as: \[ A \cap B' \] 4. **Final Expression**: The final simplified expression is: \[ A \cap B' \] 5. **Conclusion**: Thus, \( A \cap (A \cap B') = A \cap B' \). ### Answer: The answer is \( A \cap B' \).

To solve the problem, we need to simplify the expression \( A \cap (A \cap B') \), where \( B' \) denotes the complement of set \( B \). ### Step-by-Step Solution: 1. **Understand the Expression**: We start with the expression \( A \cap (A \cap B') \). Here, \( B' \) is the complement of set \( B \). 2. **Apply Associative Law**: ...
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