Решите тригонометрическое неравенство

Решите задачу:

$- \sqrt{3} \cos(1.5x+ \frac{\pi}{6} )\ \textless \ -1.5|:(- \sqrt{3} )\\ \\ \cos(1.5x+ \frac{\pi}{6})\ \textgreater \ \frac{3}{2 \sqrt{3} } \\ \\ \cos(1.5x+ \frac{\pi}{6})\ \textgreater \ \frac{ \sqrt{3} }{2} \\ \\ -\frac{\pi}{6}+2 \pi n\ \textless \ 1.5x+\frac{\pi}{6}\ \textless \ \frac{\pi}{6}+2 \pi n,n \in \mathbb{Z}\,\, |-\frac{\pi}{6}\\ \\ -\frac{\pi}{3}+2 \pi n\ \textless \ 1.5x\ \textless \ 2 \pi n,n \in \mathbb{Z}\,\,\,\,\, |:1.5\\ \\ -\frac{2\pi}{9}+\frac{4\pi n}{3}\ \textless \ x\ \textless \ \frac{4 \pi n}{3},n \in \mathbb{Z}$