The set of all the possible real values of a such that the inequality x - a - 1 x - a 2 + 2 0 holds for all x ∈ - 1 , 3 , is

Question

The set of all the possible real values of a such that the inequality x - a - 1 x - a 2 + 2 0 holds for all x ∈ - 1 , 3 , is, 1 , ∞, - ∞ , - 1, - ∞ , 1, 0 , 1

MARKS App · Accepted Answer

a - 1 - 1 and a 2 + 2 > 3 a 0 and a 2 > 1 a 0 and a > 1 or a - 1 ⇒ a - 1

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