Решите неравенство: (x-5)/(x-6)>(x-6)/(x-5).

\[\frac{x - 5^{\backslash x - 5}}{x - 6} > \frac{x - 6^{\backslash x + 6}}{x - 5}\]

\[\frac{(x - 5)^{2} - (x - 6)^{2}}{(x - 5)(x - 6)} > 0\]

\[\frac{2x - 11}{(x - 5)(x - 6)} > 0\]

\[\frac{2 \cdot (x - 5,5)}{(x - 5)(x - 6)} > 0\]

\[Ответ:(5;5,5) \cup (6; + \infty).\]