Let be bounded above, then prove that

Let since is bounded above, there's supremum, hence then I'm on the right track? How do I finish?

I think I'm wrong. :(

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- March 29th 2011, 03:26 PMConnectedSet bounded above
Let be bounded above, then prove that

Let since is bounded above, there's supremum, hence then I'm on the right track? How do I finish?

I think I'm wrong. :( - March 29th 2011, 03:44 PMhatsoff
Here's what you do: First show that . You've pretty much done that already. Now you need to show that .

There are a lot of ways to do that. One way is by contradiction: Suppose . Then , which means that there is some number with , a contradiction. - March 29th 2011, 03:45 PMmeasureman
- March 29th 2011, 04:41 PMConnected