4. Let $\alpha$ be an interior angle of a triangle, and $(\lg 2 + \lg 3)^{\sin 4 \alpha} > 1$. Then the range of the real number $\alpha$ is $\qquad$
$\begin{array}{l}\text { 4. }\left(\frac{\pi}{4}, \frac{\pi}{2}\right) \\ \cup\left(\frac{3 \pi}{4}, \pi\right)\end{array}$