Originally Posted by

**stokes** Hello all. I am very stuck on this question. I dont know where to start on how to tackle it.

Please help:

Show that berween any two different real numbers there is a reational number. (hint: If a<b, then b-a>0 so there is a natural number n such that

1/n < b-a. Consider the set {K: k/n >b } and use the fact that a set of integers that is bounded from below contains a least element.) Show that between any two different real numbers there are ultimately many rational numbers.

I am really having a real hard time with proof. Does anyone have any tips, advice or any suggestions of books that would help with proof of amathematical question?

Thanks in advance for all your help.