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Solve ((x+2)(x^2-2x+1))/(-4 +3x-x^2) ge ...

Solve `((x+2)(x^2-2x+1))/(-4 +3x-x^2) ge 0 `

Text Solution

Verified by Experts

The correct Answer is:
`x in (-oo ,-2] cup {1}`

`((x+2)(x^2-2x+1))/(-x^2+3x-4) ge 0 `
or `((x+2)(x-1)^2)/(x^2-3x+4) ,e 0 `
Now `x^2- 3x+4 gt 0 AA x in R`
`therefore (x+2)(x-1)^2 le 0 `
`rArr x in (-oo , -2 ] cup {1}`
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