Solve |x^2-2x|+|x-4|<|x^2-3x+4|dot...

Solve `|x^2-2x|+|x-4|<|x^2-3x+4|dot`

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Verified by Experts

`|x^2-2x|+|x-4| gt| x^2- 3x+4|`
`(x^2-2x)(4-x) lt 0 `
`rArr x(x-2)(x-4) gt 0`
`rArr x in (0,2) cup (4,oo)`

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