- #1

Aryth1

- 39

- 0

We were given a hint to use subsequences, but I don't think they are really necessary... Are they?

I don't need help with the proof, per say, I would just like an opinion of whether or not you think subsequences are necessary.

Reflexivity and Symmetry were easy to show without the use of subsequences, and transitivity seems to follow from the triangle inequality and the fact that \(\displaystyle |x-y|\geq 0\) for all \(\displaystyle x,y\in \mathbb{Q}\).

Any help is appreciated!

EDIT: Wasn't less than, but greater than.