Partial density proof for rationals in the reals

Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
2 replies · 3K views
pzzldstudent
Messages
43
Reaction score
0
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:

http://qaboard.cramster.com/advanced-math-topic-5-338957-cpi0.aspx"
 
Last edited by a moderator:
Physics news on Phys.org
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:
Dick said:
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.

Awesome, thanks!