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The set of all possible real values of a...

The set of all possible real values of a such that the inequality `(x-(a-1))(x-(a^2-1))<0` holds for all `x in (-1,3)` is a. `(0,1)` b. `(oo,-1]` c. `(-oo,-1)` d. `(1,oo)`

Text Solution

Verified by Experts

As shown in the sign scheme in the figure
`a-1 le -1 " and " a^2+2 ge 3`
or `a le 0 and a^2 ge 1`
`rArr a le -1`
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