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Which of the following is not the soluti...

Which of the following is not the solution of `(16^(1//x))/(2^(x+3))gt 1` ?

A

`(-oo,-4)`

B

(0,1)

C

`(0, oo)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`2^((4)/(x)-x-3)gt2^(0)`
`rArr (4)/(x)-x-3 gt 0`
`rArr (4-x^(2)-3x)/(x)gt 0`
`rArr (x^(2)+3x-4)/(x)lt 0`
`rArr ((x+4)(x-1))/(x)lt0`
`rArr x in(-oo,-4)uu(0,1)`
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