Prove that abs(x-y) < ε for all ε>0, then x=y.(adsbygoogle = window.adsbygoogle || []).push({});

I really do not know how to start this... I have tried to do the contra positive which would be If x does not equal y, then there exist a ε>0 such that abs(x-y) >= ε. Can someone help me and lead me to the right direction.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Proof in Real Analysis

**Physics Forums | Science Articles, Homework Help, Discussion**