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Home » The inequality holds where the expression is negative: - Carbonext

The inequality holds where the expression is negative: - Carbonext

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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Hence, no two-digit number satisfies $ x \equiv -3 \pmod{504} $.
The smallest positive solution is $ x = 501 $, which is three-digit.
Therefore, there is **no two-digit** such number.
But perhaps the question meant **three less than a multiple of 7, or 8...
Alternatively, maybe it meant a number such that $ x + 3 $ is divisibl...
Thus, no solution exists in two digits.
But for olympiad style, perhaps the intended setup was different. Let’...
Alternatively, maybe the number is three less than a multiple of **the...
But since the problem asks for a **two-digit** integer, and none exist...
Wait — perhaps we made a directional error. Let's suppose the number i...

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