\[\left( \sqrt{2} + \sqrt{7} \right)x^{\backslash\sqrt{2} - \sqrt{7}} > \frac{5}{\sqrt{2} - \sqrt{7}}\]
\[\frac{\left( \sqrt{2} + \sqrt{7} \right)\left( \sqrt{2} - \sqrt{7} \right)x - 5}{\sqrt{2} - \sqrt{7}} > 0\]
\[(2 - 7)x - 5 < 0\]
\[- 5x < 5\]
\[x > - 1\]
\[Ответ:( - 1; + \infty).\]