Question

Решите неравенство ((x-1,3)^3(x+1,2)(x+1,1)^2)/((x+1,1)(x-1,25))≥0.

Answer 1

$\frac{\left ( x-1,3 \right )^3(x+1,2)(x+1,1)^2}{(x+1,1)(x-1,25)}\geq 0\Leftrightarrow \frac{(x-1,3)^2(x-1,3)(x+1,2)(x+1,1)^2}{(x+1,1)(x-1,25)}\geq 0\\\frac{(x-1,3)(x+1,2)(x+1,1)}{x-1,25}\geq 0\\x\neq -1,1\Rightarrow x\in \left ( -\infty ;-\frac{6}{5} \right ]\cup \left ( -\frac{11}{10};\frac{5}{4} \right )\cup \left [ \frac{13}{10};+\infty \right )$