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

For any two sets A and B, prove that : (i) (A-B)cupB=AcupB (ii) (A-B)capB=phi

For any two sets A and B, prove that : (i) (AcupB)-A=B-A (ii) (A-B)capA=AcapB' (iii) A capB' = phi rArr A sube B (iv) A' cupB=UrArrA subeB .

For any 3 sets A, B and C, prove that : (i) A-(B cupC)=(A-B)cap(A-C) (ii) A-(BcapC)=(A-B)cup(A-C) (iii) A cap(B-C)= (A cap B) - (A cap C) (iv) (A cupB)-C=(A-C)cup(B-C) (v) A cap (B DeltaC)=(A capB)Delta(A capC) .

If A and B are two sets, then prove that : (i) (A-B)cupB=AhArrB subeA (ii) A subA cupB .

(A-B)cup(B-A)=?

For any two sets . A cup(A cap B) =

Let A and B be two sets . The (Acup B)'cup(A'capB)=