I have seen $\mathbb{R}_{+}$ used to denote both of the sets
$$\mathbb{R}_{+}=\{x\in\mathbb{R}|x\ge0\}$$ $$\mathbb{R}_{+}=\{x\in\mathbb{R}|x\gt0\}$$
In order to avoid confusion, some authors have adopted the notation $$\mathbb{R}_{++}=\{x\in\mathbb{R}|x\gt0\}$$
Is one notation more prevalent than the others, and thus safer to assume? My guess is that different countries use different conventions, but I have not been able to find any patterns in literature.
What do you take it to mean when you see $\mathbb{R}_{+}$, assuming that it cannot be easily inferred from the case (e.g. the domain of $\log(x)$)?