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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

Options

  1. A1 , ∞
  2. B- ∞ , - 1
  3. C- ∞ , 1
  4. D0 , 1

Correct answer

B. - ∞ , - 1

Step-by-step solution

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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