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

u911051577

2 декабря 2017 г. в 00:00

(x² – 2·x – 1)/(x – 2) + 2/(x – 3) < = x

SOVA

2 декабря 2017 г. в 00:00

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((x²–2x–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∈(– ∞;1]U(2;3)
О т в е т. х∈(– ∞;1]U(2;3)