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Applying set algebra, show that, (A ca...

Applying set algebra, show that,
`(A capB)-C=(A-C)cap(B-C)`

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Applying Set Algebra, prove the : (AcapB) -C=(A-C) cap(B-C)

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For any three sets A,B,C prove by the formulae of set algebra that (AcapB)-C=(A-C)cap(B-C)

Applying Set Algebra, prove the : Acap(B-A)=phi

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Applying the laws of algebra of sets, prove that, (AcupB)cap(A cupB^c)=A

Applying the laws of algebra of sets, prove that, (A cupB)cap A=A

For any three sets A,B and C, prove that, A cap (B-C)=(A capB)-(A cap C)

For any three sets A , B and C prove the followings : (AcapB)-C=(A-C) cap(B-C)