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Solve 2/(x^2-x+1)-1/(x+1)-2/(x^3+1)geq0....

Solve `2/(x^2-x+1)-1/(x+1)-2/(x^3+1)geq0.`

Text Solution

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`(2)/(x^2-x+1)-(1)/(x+1)-(2x-1)/(x^3+1) ge 0.`
`(2(x+1)-(x^2-x+1)-(2x-))/((x+1)(x^2-x+1))ge 0 `
` or -((x^2-x-2))/((x+1)(x^2-x+1)) ge 0 `
`(-(x-2)(x+1))/((x+1)(x^2-x+1))ge0`
`or (2-x)/(x^2-x+1) ge 0 where x d ne -1`
`or 2- x ge 0, x ne -1 " " (as x^2-x+1 gt 0 for AA x in R)`
`rArr x le 2 , x ne -1 `
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