JEE Advance - Mathematics (1987 - No. 8)
The set of all $$x$$ in the interval $$\left[ {0,\,\pi } \right]$$ for which $$2\,{\sin ^2}x - 3$$ $$\sin x + 1 \ge 0,$$ is _____.
$$\left[ {0,{\pi \over 6}} \right] \cup \left[ {{{5\pi } \over 6},\pi } \right]$$
$$\left[ {0,{\pi \over 6}} \right] \cup \left[ {{\pi \over 2}} \right] \cup \left[ {{{5\pi } \over 6},\pi } \right]$$
$$\left[ {{\pi \over 6},{{5\pi } \over 6}} \right]$$
$$\left[ {0,{{5\pi } \over 6}} \right]$$
$$\left[ {{\pi \over 6},\pi } \right]$$