By taking suitable sets A,B,C, verify the following result :
(i) `A xx(B cap C)= (A xx B) cap (A xx C).`
(ii) `A xx(B cup C)=(Axx B) cup (AxxC).`
(iii) `(AxxB) nn (BxxA) = (AnnB) xx (BnnA).`
(iv) `C-(B-A)= (CnnA) uu (CnnB').`
(v) `(B-A) nn C=(B nn C)-A=Bnn(C-A).`
(vi) `(B-A)uu C=(BuuC)-(A-C).`

Answer

(i) `(A xx B) cup (A xx C)`
(ii) `(A xx B) cup (A xx C)`
(iii) {(2,2),(2,7),(7,2),(7,2)}
(iv) {1,5,10}
(v) {3}
(vi) `(B cup C)-(A-C)`