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Number of intergal values of x satisfyin...

Number of intergal values of x satisfying the inequality `(x^2+6x-7)/(|x+2||x+3|) lt 0 `is

A

5

B

6

C

7

D

8

Text Solution

Verified by Experts

The correct Answer is:
A
We have `(x^2+6x-7)/(|x+2||x+3|) lt 0 `
Clearly ,` ne -2,-3`
Now `x^2+6x-7 lt 0 `
`rArr (x+7)(x-1) lt 0 `
`rArr in (-7,1)-{-3,-2}`
So ,intergers are {-6 ,-5 -4,-1,0}
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