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33. Is it true that A (B C)(A B) C? If so, prove it, and if not, find an example of three sets for which it does not hold. How would you describe this in words? 34. As we have already said, the sets A, B, and C are mutually disjoint if no two of them have any elements in common; that is, if A n B 3, A C = Ø, and B r C-Ø a) Show that if A, B, and C are mutually disjoint, then A n B กั C Ø. b) On the other hand, find three sets A, B, and C for which A n Bnc Ø, but that are not mutually disjoint.

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