For all sets A and B , prove that `(A-B)uu(AcapB)=A.`

For any two sets A and B , prove that : (A-B)uu(B-A)=(AuuB)-(AcapB) .

For any sets A and B , prove that : P(AcapB)=P(A)capP(B) .

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 two sets A and B, prove that B sub A uu B

For any two sets A and B, prove that A uu B=A nn B hArr A=B

For any two sets of A and B, prove that: A'uu B=U rArr A sub B

If A uu B=A nn B, prove that A=B

For all sets a B and C show that (A-B)nn(A-C)=A-(B uu C)

Prove that A uu(A nn B)=A