All x satisfying the inequality (cot–1 x)2– 7(cot–1 x) + 10 > 0, lie in the interval :

Question

All x satisfying the inequality (cot^–1 x)²– 7(cot^–1 x) + 10 > 0, lie in the interval :

(cot 2, $\infty $)

(–$\infty $, cot 5) $ \cup $ (cot 2, $\infty $)

(cot 5, cot 4)

(– $\infty $, cot 5) $ \cup $ (cot 4, cot 2)

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