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Solve (x+2)/(x^2+1)gt 1/2...

Solve `(x+2)/(x^2+1)gt 1/2 `

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Verified by Experts

The correct Answer is:
`-1 le x lt 3 `
(x+2)/(x^2+1)gt 1/2
or` (x+2)/(x^2+1)-1/2 gt 0`
or `(3+2x+x^2)/2(x^2+1) gt 0 `
or `(3+2x-x^2)/2(x^2+1)gt 0 `
`or x^2-2x-3lt 0`
`or (x-3)(x+1) lt 0`
`rArr -1 lt x lt 3 `
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