If `AcapB'=phi`, then show that `A=AcapB` and hence show that `AsubeB`.

If AcapB^1=phi ,then show that A=AcapB and hence show that AsubeB .

If A nnn B'=phi then prove that A=A nn B and hence show that A sube B .

If AsubeB and BsubeC then show that AsubeC .

If AcupB=AcapB then

If A and B are two such that AcupB=AcapB, then

Show that AcapB=AcapC need not imply B=C.

Let U= {1,2,3,4,5,6,},A {2,3} and B={3,4,5} . Find A ,B,A capB',AuuBand hence show that (AuuB)'=A'capB .

U={1,2,3,4,5,6,7} , A={1,4,6,7} , B={1,2,3} . Find A',B',A'capB',AcupB and hence show that A'capB'=(AcupB)'

If AuuB=AcapB , prove that A=B.

Prove that AcapB^(C)=A-B .