TITLE: Does $\,x>0\,$ hint that $\,x\in\mathbb R\,$?
QUESTION [12 upvotes]: Does $x>0$ suggest that $x\in\mathbb R$?

For numbers not in $\,\mathbb R\,$ (e.g. in $\mathbb C\setminus \mathbb R$), their sizes can't be compared. 
So can I omit "$\,x\in\mathbb R\,$" and just write $\,x>0\,$?
Thank you.

REPLY [3 votes]: My favorite would be "$x$ is a positive real number". Simple, clear, unambiguous, and no strange symbols to decipher.
It's a bit long, maybe, but who cares -- the point of writing is clarity, not brevity.