Решите неравенство _(sqrt(x-1)) (x^2 - 7x + 12)/(x - 5) 2 .
_(sqrt(x-1)) (x^2 - 7x + 12)/(x - 5) 2 (ln( (x^2 - 7x + 12)/(x - 5) ) - ln(x-1))/(ln(x-1)) 0 cases ((x^2 - 7x + 12) - (x-5)(x-1))/((x-5)(x-2)) 0 x > 1 (x^2 - 7x + 12)/(x - 5) > 0 cases cases (x - 7)/((x-5)(x-2)) 0 x > 1 ((x-3)(x-4))/(x-5) > 0 cases x in (3, 4) U [7, +inf)
\( x \in (3, 4) \cup [7, +\infty) \)