The number of integral values of `x` satisfying the equation `|x-|x-4||=4` is

The number of integral values of `x` satisfying the equation `|x-|x-4||=4` is
A. `5`
B. `7`
C. `9`
D. infinite

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

Salim Ahmed Kawsar

Correct Answer - 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)`.

5 views Answered 2023-02-05 15:29

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