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If S is the set of all real numbers x fo...

If S is the set of all real numbers x for which > 0 `(2x-1)/(2x^3+3x^2+x)` and P is the subset of S,

A

`(-oo, -(3)/(2))`

B

`(-(3)/(2), -(1)/(4))`

C

`(-(1)/(2), -(1)/(4))`

D

`(-(1)/(2), 3)`

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
`(2x - 1)/(2x^(3) + 3x^(2) + x) gt 0`
`(2x - 1)/(x(2x^(2) + 3x + 1)) gt 0 rArr (2x - 1)/(x(2x - 1)(x + 1)) gt 0`

`xin(-oo, -1)cup(-(1)/(2), 0) cup ((1)/(2), oo)`
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