Решите уравнение: [latex]3cos\frac{x}{2}-\sqrt3sin\frac{x}{2}\leq\sqrt3[/latex]

[latex]3cos\frac{x}{2}-\sqrt3sin\frac{x}{2}\leq\sqrt3\\ \sqrt3cos\frac{x}{2}-sin\frac{x}{2}\leq1|:2\\ \frac{\sqrt3}{2}cos\frac{x}{2}-\frac{1}{2}sin\frac{x}{2}\leq\frac{1}{2}\\ cos\frac{\pi}{6}cos\frac{x}{2}-sin\frac{\pi}{6}sin\frac{x}{2}\leq\frac{1}{2}\\ cos(\frac{\pi}{6}+\frac{x}{2})\leq \frac{1}{2}\\ \frac{\pi}{3}+2\pi n\leq\frac{\pi}{6}+\frac{x}{2}\leq\frac{5\pi}{3}+2\pi n\\ \frac{\pi}{6}+2\pi n\leq\frac{x}{2}\leq\frac{9\pi}{6}+2\pi n\\ \frac{\pi}{3}+4\pi n\leq x \leq 3\pi+4\pi n\\ [/latex]