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Number of solutions of the equation |2-|...

Number of solutions of the equation `|2-|x||=x +4` is

A

0

B

1

C

2

D

Infinite

Text Solution

Verified by Experts

The correct Answer is:
B
`|2-|X||=X+4`
`rArr 2-|x|=x+4 `
`of |x|-2=x+4`
From (i) , 2 -x=x+4 or x =-1
but this value does not satisfy (i)
So equation has only one solution
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