Is there any use in writing $x ≫ 0$ (or $x ≪ \infty$)?
Of course, $x > 0$ (or $x < \infty$) makes sense, and $x ≫ a$ (or $x ≪ a$) makes sense when $a \neq$ 0 (or $a \neq \infty$). I usually interpret this as $x/a ≫ 1$ (or $x/a ≪ 1$) rather than $x - a ≫ 0$ (or $x - a ≪ 0$). But this interpretation fails with those special values of $a$.