Find all positive integers $n$ that satisfy the following inequalities: $$-46 \leq \frac{2023}{46-n} \leq 46-n$$
Source: Kyiv City MO 2023 Round 1, Problem 10.1
Tags: inequalities
Find all positive integers $n$ that satisfy the following inequalities: $$-46 \leq \frac{2023}{46-n} \leq 46-n$$