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यदि ((x^(2)-1)(x+2)(x+1)^(2))/((x-2))lt0...

यदि `((x^(2)-1)(x+2)(x+1)^(2))/((x-2))lt0` ,तो असमिका का हल ज्ञात करों .

A

`(-2,-1)uu(1,2)`

B

`(-oo, -2)uu(2,oo)`

C

`(-2,-1)uu(2,oo)`

D

`(-2,-1)uu(1,oo)`

Text Solution

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The correct Answer is:
A
If `((x^(2)-1)(x+2)(x+1)^(2))/((x-2))lt 0` …………
`((x^(2)-1)(x+2)(x+1)^(2))/((x-2))lt 0`
`((x^(2)-1)(x^(2)-4)(x+1)^(2))/((x-2)^(2))lt 0`
`(x^(2)-1)(x^(2)-4)lt0`
`1lt x^(2)lt 4`
`-2lt x lt -1 or 1lt x lt 2`
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