Proof utilizing archemedian principle

Prove that if , then there exists such that

I know the Archemedian Principle comes into play, but I'm just having a brain freeze on how to do this. (Headbang)

EDIT: Bleh, nevermind. I figured it out.

Quote:

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Originally Posted by Pinkk

Prove that if , then there exists such that

I know the Archemedian Principle comes into play, but I'm just having a brain freeze on how to do this. (Headbang)

EDIT: Bleh, nevermind. I figured it out.

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By the archimedean principle there exists an such that . Take .