4.8 Let S and T be nonempty subsets of R with the following property: st for all s ES and tET. (a) Observe S is bounded above and T is bounded below. (b) Prove sup S ≤ inf T. (c) Give an example of such sets S and T where SnT is nonempty. (d) Give an example of sets S and T where sup S = inf T and SnT is the empty set.

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