# Math Help - a proof at the beginning of analysis

1. ## a proof at the beginning of analysis

given any reel number x there is an integer n such that n>x

2. Originally Posted by sah_mat
given any real number x there is an integer n such that n>x
this is essentially asking for a proof of the Archimedean Property: If $a>0$ and $b > 0$, then for some integer $n$, we have $na > b$.

i leave it to you to find the proof for this. chances are it is your text, if not (which would be strange) a quick web search should turn up results easily. it is a very famous property.

setting $a = 1$ and $b = x$ you have the claim you want to prove.

minor modifications are needed for the case $x \le 0$