1. $\displaystyle\frac{0,5}{x-x^2-1}<0$
2. $\displaystyle\frac{x^2-5x+6}{x^2+x+1}<0$
3. $\displaystyle\frac{x^2+2x-3}{x^2+1}<0$
4. $\displaystyle\frac{(x-1)(x+2)^2}{-1-x}\le0$
5. $\displaystyle\frac{x^2+4x+4}{2x^2-x-1}>0$
6. $\displaystyle\frac{(2-x^2)(x-3)^3}{(x+1)(x^2-3x-4)}\ge0$
7. $\displaystyle\frac{(x+2)(x^2-2x+1)}{4+3x-x^2}\ge0$
8. $\displaystyle\frac{x^4-3x^3+2x^2}{x^2-x-30}\ge0$
9. $\displaystyle\frac{x^2+2}{x^2-1}<-2$
10. $\displaystyle\frac{2(x-4)}{(x-1)(x-7)}\ge\frac{1}{x-2}$
11. $\displaystyle\frac{7}{(x-2)(x-3)}+\frac{9}{x-3}+1\le0$
12. $\displaystyle\frac{(x-2)(x-4)(x-7)}{(x+2)(x+4)(x+7)}>1$
13. $\displaystyle\frac{x^2-6x+9}{5-4x-x^2}\ge0$
14. $\displaystyle\frac{x+1}{x-1}\ge\frac{x+5}{x+1}$

Ответы

1. $(-\infty;+\infty)$
2. (2;3)
3. (-3;1)
4. $(-\infty;-1)\cup[1;+\infty)$
5. $(-\infty;-2)\cup(-2;-1/2)\cup(1;+\infty)$
6. $(-\sqrt{2};-1)\cup(-1;\sqrt{2})\cup[3;4)$
7. $(-\infty;-2)\cup(-1;4)$
8. $(-\infty;-5)\cup[1;2]\cup[6;+\infty)\cup\{0\}$
9. $(-1;0)\cup(0;1)$
10. $(1;2)\cup(7;+\infty)$
11. $[-5;1]\cup(2;3)$
12. $(-\infty;-7)\cup(-4;-2)$
13. $(-1;1]\cup(4;6]$
14. $(-5;-1)\cup\{3\}$
15. $(-\infty;-1)\cup(1;3]$