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Set of all values of ‘x’ satisfying the inequality |2x^2 - 4x -7 | < [1+1/2(cosθ /cosθ/2- sin θ/2)2],

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Set of all values of ‘x’ satisfying the inequality |2x2 - 4x -7 | < [1+1/2(cosθ /cosθ/2- sin θ/2)2], -π/2≤ θ< π/2 where [ . ] denotes the greatest integer function, is

(A) (–1, 3) 

(B) (1- √5,1+ √5) 

(C) (1- √5, -1) ⋃(3, 1+ √5) 

(D) None of these 

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Correct Option:-  (C)

Explanation :-

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