किन्ही दो समुच्चयों A और B के लिए `A nn (A uu B)=`

(A uu B) nn (A uu B ^ (c)) = A

A uu B = (AB) uu (BA) uu (A nn B)

A uu B = A nn B iff :

Using properties of sets, show that (i) A uu ( A nn B) = A (ii) A nn (A uu B) =A .

Let A and B be sets. If A nn X = B nn X =phi and A uu X = B uu X for some set X, show that A = B. (Hints A = A nn (A uu X) , B=B nn (B uu X) and use Distributive law )

Prove A nn B=A and A uu B=A rArr A=B

Using properties of sets,show that (i) A uu(A nn B)=A (ii) quad A nn(A uu B)=A