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Consider the inequation x^(2) + x + a - ...

Consider the inequation `x^(2) + x + a - 9 lt 0`
The value of the parameter a so that the given inequaiton is ture `AA x in (-1,3)`

A

`(-oo,-3]`

B

`(-3,oo)`

C

`[9,oo)`

D

`(-oo, 34//4)`

Text Solution

Verified by Experts

The correct Answer is:
1
If `x^(2)+ x + a-9 lt 0` is ture `AA x in (-1,3)`, then `f(-1) lt 0 and f(3)lt 0`
`therefore 1-1 + a -9 lt 0 and 9 + 3 + a-9 lt 0`
`rArr a lt 9 and a le -3`
`rArr a le - 3`
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