Partial density proof for rationals in the reals

1. Oct 3, 2008

pzzldstudent

I have a proof dealing with density of the rationals. It looks very similar to a proof we did in class.

I also posted my question on Cramster since it is easy for plugging in mathematical symbols:

Last edited by a moderator: May 3, 2017
2. Oct 3, 2008

Dick

There's no reason to repeat the whole proof if you've already shown if x<y there is a rational between them. If x<y, then x/u<y/u so there is a rational x/u<r<y/u. You are practically done.

Last edited: Oct 4, 2008
3. Oct 5, 2008

pzzldstudent

Awesome, thanks!