\[\left( \sqrt{3} + \sqrt{7} \right)x^{\backslash\sqrt{3} - \sqrt{7}} < \frac{4}{\sqrt{3} - \sqrt{7}}\]
\[\frac{\left( \sqrt{3} + \sqrt{7} \right)\left( \sqrt{3} - \sqrt{7} \right)x - 4}{\sqrt{3} - \sqrt{7}} < 0\]
\[(3 - 7)x - 4 > 0\]
\[- 4x > 4\]
\[x < - 1\]
\[Ответ:( - \infty; - 1).\]