Mathematics

Problem

Solve for

x

-\dfrac{\pi}{6} \le \arcsin(3x-1) < \dfrac{\pi}{3}

. a)

\dfrac{1}{6} < x \le \dfrac{2+\sqrt{3}}{6}

\dfrac{1}{2} \le x < \dfrac{2+\sqrt{3}}{6}

\dfrac{1}{6} \le x < \dfrac{2+\sqrt{3}}{6}

\dfrac{1}{6} \le x < \dfrac{\sqrt{3}}{6}