Question

Помогите подробно
$2- frac{x-3}{x-2} geq frac{x-2}{x-1 }$

Answer 1

$frac{2(x-1)(x-2) - (x-3)(x-1) - (x-2)^2}{(x-1)(x-2)} geq 0 \ frac{2x^2-6x+4-x^2+4x-3-x^2+4x-4}{(x-1)(x-2)} geq 0 \ frac{2x-3}{(x-1)(x-2)} geq 0$

__-___(1)___+____[1.5]____-____(2)_____+___

Ответ: (1; 1,5] U (2; +∞)