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Find the set of all possible real value of a such that the inequality `(x-(a-1))(x-(a^2+2))<0` holds for all `x in (-1,3)dot`

A

`(0, 1)`

B

`(infty, -2]`

C

`(-infty, - 1)`

D

`(1, infty)`

Text Solution

Verified by Experts

The correct Answer is:
2
We have,
` a - 1 le - 1 `
and ` a^(2) + 2 ge 3 `
`a le 0 and a^(2) ge 1`
Hence, a ` le - 1`
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