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The solution set of inequation `|x^(2)-2x|+|x-4|gt|x^(2)-3x+4|` is a subset of

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The solution set of inequation `|x^(2)-2x|+|x-4|gt|x^(2)-3x+4|` is a subset of
A. `(0, oo)`
B. `(0, 4)`
C. `(0, 2)`
D. `(4, oo)`
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Correct Answer - A
The solution set ……….
`|x^(2)-2x|+|4-x|gt|x^(2)-3x+4|`
`implies (x^(2)-2x)(4-x|gt|x^(2)-3x+4|`
`implies (x^(2)-2x)(4-x)cancelge 0`
`implies (x^(2)-2x)(4-x)lt 0 implies x epsilon (0, 2)uu(4, oo)`
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