I read the above as follows:
Ten is greater than x is greater than three.
Is that acceptable?
I need native speakers' help.
No, it's unnatural. You don't have to read maths sign by sign.
I'd say "x is less than ten and greater than 3" or even, "X is between 3 and 10 exclusive".
If you know that x is an integer, "x is between 4 and 9 inclusive".