\[\left\{ \begin{matrix} \frac{x^{2} - 25}{x^{2} - 4} > \frac{2x - 25}{x^{2} - 4\ }\text{\ \ \ \ \ } \\ \frac{x + 1002}{3x - 8} < \frac{x - 1005}{3x - 8} \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ }\]
\[\left\{ \begin{matrix} \frac{x^{2} - 2x}{x^{2} - 4} > 0 \\ \frac{2007}{3x - 8} < 0\ \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ }\]
\[\left\{ \begin{matrix} \frac{x(x - 2)}{(x - 2)(x + 2)} > 0 \\ 3x - 8 < 0\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ \end{matrix} \right.\ \]
\[\left\{ \begin{matrix} \frac{x(x - 2)}{(x - 2)(x + 2)} > 0 \\ x < 2\frac{2}{3}\text{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ } \\ \end{matrix} \right.\ \]