The solution set of the inequality \( \log _{\sin \left(\frac{\pi}{3}\right)}\left(x^{2}-3 x+2\r...

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The solution set of the inequality \( \log _{\sin \left(\frac{\pi}{3}\right)}\left(x^{2}-3 x+2\right) \geq 2 \) is
\( \mathrm{P} \)
(A) \( \left(\frac{1}{2}, 2\right) \)
(B) \( \left(1, \frac{5}{2}\right) \)
(C) \( \left[\frac{1}{2}, 1\right) \cup\left(2, \frac{5}{2}\right] \)
(D) \( (1,2) \)
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