Does $\,x>0\,$ hint that $\,x\in\mathbb R\,$? [closed]

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.