Решите систему неравенств: (x^2-16)/(x^2-9)>(3x-16)/(x^2-9); (x+1001)/(4x-15)<(x-1006)/(4x-15).

\[\left\{ \begin{matrix} \frac{x^{2} - 16}{x^{2} - 9} > \frac{3x - 16}{x^{2} - 9}\text{\ \ \ \ \ } \\ \frac{x + 1001}{4x - 15} < \frac{x - 1006}{4x - 15} \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} \frac{x^{2} - 3x}{x^{2} - 9} > 0 \\ \frac{2007}{4x - 15} < 0 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} \frac{x(x - 3)}{(x - 3)(x + 3)} > 0 \\ 4x - 15 < 0\ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ \end{matrix} \right.\ \]

\[\left\{ \begin{matrix} \frac{x(x - 3)}{(x - 3)(x + 3)} > 0 \\ x < 3,75\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ \end{matrix} \right.\ \]