21127 Study Guide - Quiz Guide: 2Zy, Exclusive Economic Zone, Burh
16 Dec 2015
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Sets proofs and double-containment arguments: suppose that s is a set and a p(s). X a: 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: prove that, prove that. A (b c) = (a b) (a c) (cid:8)n2 + n + 1 | n n(cid:9) {2n + 1 | n n} Here are a few problems that give you practice reading and writing (and proving) quanti ed statements. Claim: a | (b + c), i. e. m z. am = (b + c); equivalently, we can nd an integer m z such that am = (b + c) . We suppose a | b and a | c. this means k z. b = ak and (cid:96) z. c = a(cid:96). Let such k, (cid:96) z be given.
