A trigonometric inequation involving cotangent compares \( \cot x \) to a constant \( m \). The solution set is derived based on the cotangent function's periodicity and principal value range from \( 0 \) to \( \pi \).
\[ \cot x \geq m \]
The solution interval for real values of \( m \) is:
\[ k\pi \leq x \leq \alpha + k\pi \]
where \( \alpha = \text{arccot } m \), and \( 0 \leq \alpha \leq \pi \).