\[1)\ \frac{x^{2} - 9}{x^{2} - 4} < 0\]
\[\frac{(x + 3)(x - 3)}{(x + 2)(x - 2)} < 0\]
\[- 3 < x < - 2\]
\[2 < x < 3.\]
\[Ответ:\ \ x \in ( - 3;\ - 2) \cup (2;\ 3).\]
\[2)\ \left( 2x^{2} + 3 \right)(x + 4)^{3} > 0\]
\[x + 4 > 0\]
\[x > - 4.\]
\[Ответ:\ \ x \in ( - 4;\ + \infty).\]