Let A ={1,2,4,5},B={2,3,5,6},C={4,5,6,7}...

Let A ={1,2,4,5},B={2,3,5,6},C={4,5,6,7}.verify the following identity
`Acup(B cap C)=(A cup B) cap (A cup C)`

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Prove A cup (B cap C)=(A cup B) cap(A cup C)

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