Suppose I have three real scalars $a$, $b$ and $c$. I know $a>b$ and $a>c$, but know nothing about the relationship between $b$ and $c$. Like this question I want to express this relationship mathematically in a sentence, but I want to do so without using functions or writing it out in words.
Question
Is there a "proper" and unambiguous mathematical expression to express this? (Bonus: If so, what is it?)
Guesses
My first guess was:
$$a>b,c$$
but I realized it could be interpreted as $a>b$ with a hanging $c$. Then I thought this might work:
$$a>(b,c)$$
but then I wondered if it would look like $(b,c)$ was an ordered pair or something. I thought we might be able to borrow from set theory, but this question indicates not.
The suggestions from the answer to this question are either
$$ a \text{ is greater than either } b \text{ or } c\text{,}$$
which is rather wordy, or
$$ a > \max(b,c) \text{,}$$
which resorts to using a function. I expect that there is a way to express this notationally. My question differs from this question in that while I would like to know the notation (that answer belongs to that question), I'm asking whether such a notation even exists.