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The number of integral values of x satis...

The number of integral values of `x` satisfying the equation `|x-|x-4||=4` is (a) 5 , (b) 7 , (c) 9 , (d) infinite

A

`5`

B

`7`

C

`9`

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
D
`(d)` `f(x)=|x-|x-4||`
`={{:(2|x-2|,,,xlt4),(4,,,xge4):}`
For `|x-|x-4||=4`
`2|x-2|=4impliesx=0`,`4`
`:.` solution set is `{0}uu[4,oo)`.
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