(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the supremum of E=(0,1)

2. Relevant equations

3. The attempt at a solution

By definition of open interval, x<1 for all x in E. So 1 is an upper bound. Let M be any upper bound. We must show [tex]1<=M[/tex]. Can I just say that any upper bound of M must be greater than or equal to one based on the definition of open interval again?

I'm just not sure if that last line is completely correct. Thanks.

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# Homework Help: Intro to Real Analysis: Supremum

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