Задача 13680 (x^2 - 2*x - 1)/(x - 2) + 2/(x - 3) < =...

u911051577

12.02.2017

(x^2 - 2*x - 1)/(x - 2) + 2/(x - 3) < = x

SOVA

12.02.2017

★

((x^2-2x-1)/(х–2))+(2/(х–3)) ≤ x;

x(x-2)/(x-2) -(1/(x-2))+(2/(х–3)) ≤ x;

x-(1/(x-2))+(2/(х–3)) ≤ x;

-(1/(x-2))+(2/(х–3)) ≤0;

(-x+3+2x-4)/((x-2)*(x-3))≤0;

(x-1)/((x-2)*(x-3))≤0;
____-___ [1] ___+__ (2) __–___ (3) __+__

х∈(- бесконечность;1]U(2;3)
О т в е т. х∈(- бесконечность;1]U(2;3)