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Unformatted text preview: n [ k =1 A k ! = n [ k =1 ( B A k ) . 4. (a) (12 pts.) For all sets A , B , C , D , prove that ( A B ) ( C D ) ( A C ) ( B D ) . (b) (4 pts.) Find an example of sets A , B , C , and D where the inclusion in part (a) is proper, that is, where ( A B ) ( C D ) 6 = ( A C ) ( B D ). You do not have to provide a proof that your example works, a picture or similar justication will be sucient. (Hint: Try intervals on the real line.)...
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 Fall '08
 Alligood,K
 Math, Advanced Math

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