N° 2 DISEQUAZIONI RAZIONALI

$\frac{8 x - 2 x^{3}}{x^{2} + 2 x - 3} \leq 0$

$\frac{{2 x}^{3} - 8 x}{x^{2} + 2 x - 3} \geq 0 \Rightarrow ř \begin{matrix} N (x) : 2 x (x^{2} - 4) \geq 0 \\ D (x) : x^{2} + 2 x - 3 > 0 \end{matrix} \Rightarrow {\begin{matrix} N (x) : (x \leq - 2 \lor x \geq 2) \cdot (x \geq 0) \\ D (x) : x < - 3 \lor x > 1 \end{matrix} \Rightarrow x \in] - 3, - 2] \cup [0, 1 [\cup [2, + \infty [$