\[\frac{x - 4^{\backslash x - 4}}{x - 5} > \frac{x - 5^{\backslash x - 5}}{x - 4}\]
\[\frac{(x - 4)^{2} - (x - 5)^{2}}{(x - 4)(x - 5)} > 0\]
\[Ответ:(4;4,5) \cup (5; + \infty).\]