X=A nn B," Then prove that "X times X=(A times A)nn(B times B)

If X=A nn B then prove that X xx X=(A xx A)nn(B xx B)

If A nn C=phi, then prove that (A xx B)nn(C xx B)=phi

If A sube B then prove that (A xx B)nn(B xx A)=A^(2)

" If "A={1,2,3},B={2,3,4}" ,then "|(A times B)|nn(B times A)|=?

Prove that : (A-B) nn (A nn B)=phi .

(i) If A sube B , prove that A xx A sube (A xx B) nn (B xx A) (ii) If A sube B , prove that A xx C sube B xx C for any set C.

Theorem 1 (ii) (For any three set A;B;C ; prove that A xx(B nn C)=(A xx B)nn(A xx C)

Theorem 8( For any set A;B and C prove that A xx(B'uu C')'=(A xx B)nn(A xx C)

For any three sets A, B, C, prove that : Axx(B nn C)=(A xx B)nn (Axx C) .

If ={2,3},B={1,2,3} and C={2,3,4} Prove that A xx A=(B xx B)nn(C xx C)