Question: help me solve this hw problem u-a I _.v .. 4. (8 pts) Let S Q R be a nonempty subset. Assume that S is

help me solve this hw problem

u-a I _.v .. 4. (8 pts) Let S Q R be a nonempty subset. Assume that S is bounded above and that sup(S) 52' S. Show that the following fact holds: for every 6 > 0, Sn (sup(S) e, sup(S)) is innite (i.e., there are innitely many elements of S in (sup(S) e, sup(S))). Note: In this problem, you can freely use that a nite nonempty set has both maximum and minimum

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