Question

Решите неравенство. числ. x^2-x-2 < 0 знам. x^2-5x+6

Answer 1

$\frac{x^{2}-x-2}{x^{2}-5x+6}<0$

$\frac{(x+1)(x+2)}{(x-2)(x-3)}<0$

            +                                       -                           -                               +

___________________ -1_____________ 2 _______________ 3 ___________________

$(-1;2)\cup(2;3)$