Verify `(AcapB)'=A'cupB'` using Venn diagrams.

Verify (AuuB)'=A'nnB' using Venn diagram.

Verify A-(BcapC)=(A-B)cup(A-C) using Venn diagrams.

Verify Acup(BcapC)=(AcupB)cap(AcupC) using Venn diagrams.

Let S={1,2,3,4,5} be the universal set and let A={3,4,5} and B={1,4,5} be two of its subsets. Verify : (AcupB)'=A'capB' (dash denotes complement).

If AcupB=AcapB then

Prove that (AcupB)^c=A^c capB^c [without venn-diagram]

Verify with numerical examples and Venn diagram: Acup(BcupC)=(AcupB)cupC

Verify the following relations using Venn diagrams : (AcupB)cap(AcupC)=Acup(BcapC)