(x+5)/(x-1)²≥2
2(x-1)²-(x+5)≤0
2x²-5x-3≤0
(2x+1)(x-3)≤0
-1/2≤x≤3
又，x-1≠0即x≠1
∴-1/2≤x＜1或1＜x≤3
(x²-2x-1)/(x-2)＜0
(x-1+√2)(x-1-√2)/(x-2)＜0
x＜1-√2，或2＜x＜1√2
(x²+x)/(2x+1)≤1
(x²+x)/(2x+1)-1≤0
(x²+x-2x-1)/(2x+1)≤0
(x²-x-1)/(2x+1)≤0
{x-1/2-√5/2)(x-1/2+√5/2)/(2x+1)≤0
x≤(1-√5)/2，或-1/2＜≤(1+√5)/2