Theorem (Axioms of a Derived set): Let (M,d) be a metric space and let S,T C M. Then (1) S CT S' S T'. (4) 5 = S'US. (2) (SUT)' = S'U T". (3) In general, (S n T)' S s'nT', but (S nT)' # S'nT.

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Q: d set): Let (M ,d) be a (SUT)' = S' U T'.

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