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If A and B are two sets, then prove that...

If A and B are two sets, then prove that :
`A cupB=A capBhArrA=B`.

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AI Generated Solution

To prove that if \( A \) and \( B \) are two sets, then \( A \cup B = A \cap B \) implies \( A = B \), we will follow these steps: ### Step 1: Assume \( A \cup B = A \cap B \) We start by assuming that the union of sets \( A \) and \( B \) is equal to the intersection of sets \( A \) and \( B \): \[ A \cup B = A \cap B \] ...
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