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The least integer x for wich the inequal...

The least integer x for wich the inequality `((x-3)^(2))/(x^(2)+8x-22)lt0` is satisfied, is

A

`-8`

B

`-9`

C

`-10`

D

`-11`

Text Solution

Verified by Experts

The correct Answer is:
C
The least intger x ………..
`((x-3)^(2))/(x^(2)+8x-22)lt 0 implies ((x-3)^(2))/((x+4)^(2)-38)lt 0`
`implies ((x-3)^(2))/((x+4- sqrt(38))(x+4+sqrt(38)))lt 0`
`implies -4 -sqrt(38) lt x lt - 4 +sqrt(38)`
So min integral value of `x = -10`
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