The question asks to prove directly that the closed interval is covering compact(adsbygoogle = window.adsbygoogle || []).push({});

- U= an open covering of the closed set [a,b]

I started by taking C=the set of elements in the interval that finitely many members of U cover. Now I need to somehow use the least upper bound theorem to show that b is in C?

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# Closed interval is covering compact

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