21127 Study Guide - Quiz Guide: Tral, Rei

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Some de nitions you may need for the later problems: The union of a collection of sets ai indexed by the set i is. Ai = {x u | x ai for at least onei i} (cid:91) i i (cid:92) i i where we assume there is a set u such that ai u for every i i. The intersection of a collection of sets ai indexed by the set i is. How do these compare to p(a b) and p(a b): let a and b be sets, in the context of a universal set a, b u . Identify an example of a, b such that the inequality is strict. Identify an example of a, b such that the inequality is an equality. Example: s = { 3, 2, 1} (b) s n z. S = is the only possible answer! (c) s p(r), and s (cid:54) q.

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