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  3. 3 3 points suppose that s is a nonempty subset...

Question: 3 3 points suppose that s is a nonempty subset...

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3. (3 points) Suppose that S is a non-empty subset of R, and that S is bounded above. Let T be the set of all upper bounds of S, that is, T-(tER: (Vx E S) s <t). Prove that T is bounded below, and that sup(S) inf(T)

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