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For any two sets A and B, prove that : ...

For any two sets A and B, prove that :
(i) `(A capB)cup(A-B)=A`
(ii) `A cup(B-A)=A cupB`.

Text Solution

AI Generated Solution

To prove the two statements about sets, we will go through each part step by step. ### Part (i): Prove that \((A \cap B) \cup (A - B) = A\) **Step 1:** Start with the left-hand side (LHS): \[ (A \cap B) \cup (A - B) \] ...
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