Applying the laws of algebra of sets, prove that,
`A-B=B^c-A^c`

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

State the laws of algebra of sets.

If A and B are any two sets, prove that : A-B =A nn B^(c) .

Applying the axiom of equality of sets prove the identity for any three sets A, B and C. (A ∪ B ∪ C)'= A'∩ B' ∩ C'

Applying the axiom of equality of sets prove the identity for any three sets A, B and C. A nn (B-C)=(A nn B) - (A nn C)

Applying the axiom of equality of two sets prove the identiti for any two sets A and B. B uu (A-B) = A uu B .

Applying the axiom of equality of two sets prove the identiti for any two sets A and B. A uu (A uu B)=A uu B

Applying the axiom of equality of two sets prove the identiti for any two sets A and B. A uu (A' nn B) = A uu B

Applying the axiom of equality of two sets prove the identiti for any two sets A and B. A-B'=A nn B