Thread: 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.

EDIT: Bleh, nevermind. I figured it out.

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.

EDIT: Bleh, nevermind. I figured it out.

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