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

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

A

`5`

B

`4`

C

`6`

D

`7`

Text Solution

Verified by Experts

The correct Answer is:
B
`(b)` `|x|+|(4-x^(2))/(x)|=|x+(4-x^(2))/(x)|`
As `|a|+|b|=|a+b|implies ab ge 0`
`:.x((4-x^(2))/(x)) ge 0`, `x ne 0`
`implies x^(2)-4 le 0`
`implies x in [-2,2]-{0}`
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