Does $\,x>0\,$ hint that $\,x\in\mathbb R\,$? 
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.

One might be able to decode that notation, but why force this puzzle on the reader?  
