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

1. (cot 2, ∞ )
2. (– ∞ , cot 5) ∪ (cot 2, ∞ )
3. (cot 5, cot 4)
4. (– ∞ , cot 5) ∪ (cot 4, cot 2)

Correct answer: (cot 2, ∞ )

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