Question

Решите неравенство, пожалуйста
$frac{1 - x}{ {(x +1)}^{2} } < 1$

Answer 1

$frac{1-x}{(x+1)^2} textless 1 \ \ 1- frac{1-x}{(x+1)^2} textgreater 0 \ \ frac{(x+1)^2-1+x}{(x+1)^2} textgreater 0 \ \ frac{x^2+2x+1-1+x}{(x+1)^2} textgreater 0 \ \ frac{x^2+3x}{(x+1)^2} textgreater 0 \ \ frac{x(x+3)}{(x+1)^2} textgreater 0 \ \ ++++(-3)---(-1)---(0)++++ \ \ xin(-oo;-3)U(0;+oo)$