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2023 Kyiv City MO Round 1
Problem 1
Inequality with number $2023$
Inequality with number $2023$
Source: Kyiv City MO 2023 Round 1, Problem 10.1
December 16, 2023
inequalities
Problem Statement
Find all positive integers
n
n
n
that satisfy the following inequalities:
−
46
≤
2023
46
−
n
≤
46
−
n
-46 \leq \frac{2023}{46-n} \leq 46-n
−
46
≤
46
−
n
2023
≤
46
−
n
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