(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let I CRbe an interval which is open and closed at the same time. Prove that I=Ror I is the empty set.

2. Relevant equations

3. The attempt at a solution

I'm looking more for a outline structure for the solution. I have made assumptions that I is not equal to R seeking a contradition, but i dont know what further assumptions to make.

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

Dismiss Notice

Join Physics Forums Today!

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

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

# An Interval that is both open and closed.

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