- #1

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## Homework Statement

Sorry that should read and sup S[itex]\in[/itex]S

## Homework Equations

just the definitions of sup, inf, boundedness, and max

## The Attempt at a Solution

I have tried a few different things, but this question is posted for advice, not just an answer. I am trying to think of a good way to start and we don't use contrapositive proofs in my class. I was thinking I could try proof by contradiction, but then I will have to do 2 cases, first assuming S is not bounded, then assuming supS is not in S. I understand the definitions of the terms, and I could explain why this is true verbally, but I am stuck trying to do it formally. Again, I am not just fishing for an answer, I really need to get these down or I wont pass anyway.