1.3.2 In the statements below A , B, C and D , are events. Find those statements or formulas that are true.

(i) If A n B = A n C then B = C.

(ii) A U ( An B)U ( An BC)= A.

(iii) A u ( A n €3) U ( A n B C)= B.

(iv) If A \ B = C, then A = B u C.

(v) ( A u B ) n (C u D ) = ( A n C) u ( A n D ) U ( B n C ) u (B n D ) .

(vi) ( A n B) u (C n D) = ( A U C) n ( A U D ) n ( B u C) n ( B U D).

(vii) (ACu BCu CC),= ACn B" n C".
(viii) If A c B, and B n C = 0, then C" n A n Be = 0.
(ix) If A n B, A n C and B n C are not empty, then A n B n C is not empty (x) Showthat ( A + B ) t C = A t ( B t C).