Home
Class 12
MATHS
For any three sets A,B and C, prove that...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

For any three sets A, B, C, Prove that A cap(BcupC)=(AcapB)cup (A cap C) .

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

For any three sets A,B and C prove that Acup(BcapC)=(AcupB)cap(AcupC)

For any three sets A, B and C, prove that Acup(BcapC)=(AcupB)cap(AcupC)

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

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

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

For three sets A,B,C prove that A-(B cup C)=(A-B) cap (A-C)

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

Using properties of sets and their complements prove that (v) A cap (B-C)=(Acap B)-(A cap C)