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a) $\begin{cases}(1-x)^{2}>5+3x+x^{2} \\ (x+2)^{2}<x^{3}+6x^{2}-7x-5 \end{cases}$ $\Leftrightarrow$$\begin{cases}1-2x+x^{2}-5-3x-x^{2}>0 \\ x^{3}+6x^{2}-7x-5-x^{2}-4x-4>0 \end{cases}$ $\Leftrightarrow$$\begin{cases}-5x-4>0 \\ x^{3}+5x^{2}-11x-9>0 \end{cases}$ $\Leftrightarrow$$\begin{cases}x&lt;\frac{-4}{5} \\ \left[ {} \right.\begin{matrix} -6,48<x<-0,65\\ 2,13<x \end{matrix} \end{cases}$ $\Leftrightarrow$$-6,48<x<\frac{-4}{5}$

a) $\begin{cases}(1-x)^{2}>5+3x+x^{2} \\ (x+2)^{2}<x^{3}+6x^{2}-7x-5 \end{cases}$ $\Leftrightarrow$$\begin{cases}1-2x+x^{2}-5-3x-x^{2}>0 \\ x^{3}+6x^{2}-7x-5-x^{2}-4x-4>0 \end{cases}$ $\Leftrightarrow$$\begin{cases}-5x-4>0 \\ x^{3}+5x^{2}-11x-9>0 \end{cases}$ $\Leftrightarrow$$\begin{cases}x&gt;\frac{-4}{5} \\ \left[ {} \right.\begin{matrix} -6,48<x<-0,65\\ 2,13<x \end{matrix} \end{cases}$ $\Leftrightarrow$$\frac{-4}{5}<x<-0,65$

a) $\left\{ \begin{array}{l} (1-x)^{2}>5+3x+x^{2}\\ (x+2)^{2} $\Leftrightarrow$$\left\{ \begin{array}{l} 1-2x+x^{2}-5-3x-x^{2}>0\\ x^{3}+6x^{2}-7x-5-x^{2}-4x-4>0 \end{array} \right.$ $\Leftrightarrow$$\left\{ \begin{array}{l} -4-5x>0\\ x^{3}+5x^{2}-11x-9>0 \end{array} \right.$ $\Leftrightarrow$$\left\{ \begin{array}{l} x<\frac{-4}{5}\\ \left[ {} \right.\begin{matrix} -6,483 $\Rightarrow$ -6,483

a) $\left\{ \begin{array}{l} (1-x)^{2}>5+3x+x^{2}\\ (x+2)^{2}<x^{3}+6x^{2}-7x-5\end{array} \right.$ $\Leftrightarrow$$\left\{ \begin{array}{l} 1-2x+x^{2}-5-3x-x^{2}>0\\ x^{3}+6x^{2}-7x-5-x^{2}-4x-4>0 \end{array} \right.$ $\Leftrightarrow$$\left\{ \begin{array}{l} -4-5x>0\\ x^{3}+5x^{2}-11x-9>0 \end{array} \right.$ $\Leftrightarrow$$\left\{ \begin{array}{l} x<\frac{-4}{5}\\ \left[ {} \right.\begin{matrix} -6,483<x<-0,65\\2,13<x \end{matrix} \end{array} \right.$ $\Rightarrow$ -6,483<x<$\frac{-4}{5}$