Q.

The set of all possible real values of a such that the inequality (x - (a - 1)) (x - (a2 + 2)) < 0 holds for all x∈(−1,3) is

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a

(0, 1)

b

(∞,−1]

c

(−∞,−1)

d

(1,∞)

answer is B.

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Detailed Solution

We have,a−1≤−1and  a2+2≥3a≤0 and a2≥1Hence, a≤−1.
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