Solve |x|+|(4-x^2)/(x)|=|4/x|...

Solve |`x|+|(4-x^2)/(x)|=|4/x|`

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The correct Answer is:

`x in [-2,2]- {0}`

`|x|+|(4-x^2)/(x)|=|4/x|`
`rArr |x| +|(4)/(x)-x|=|x+(4/x-x)|`
`therefore x(4/x-x) ge 0, x ne 0 `
`rArr x^2-4 le 0 `
`rArr x in [-2,2]-{0}`

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