Exactly Three Integers

★ 4/10algebrainequalityCasework

Problem

The system of inequalities 2m⩽x⩽4m2m \leqslant x \leqslant 4m (in the unknown xx) has exactly 33 integer solutions. Find the range of possible values of mm.

Answer

Solution

Difficulty4/10
Topicsalgebra, inequality, Casework

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