1.

The value of `x` satisfying `|2-|2x-4|| = 1` are distinct and can ve ordered s `a lt b lt c lt d` which of the followin inequalities holds good?A. `0 lt a lt b lt c lt d`B. `a lt 0 lt b lt c lt d`C. `a lt b lt 0 lt c lt d`D. `a lt b lt c lt 0 lt d`

Answer» Correct Answer - A
For `x ge 2`
`|2-|2x-4||=1 rArr |6-2x| = 1`
`rArr 6-2x = +- 1 rArr x = (5)/(4)` or `x = (7)/(2)`
For `x lt 2`
`|2-(4 - 2x)| = 1 rArr |2x - 2| = 1`
`rArr 2x - 2 = +-1 rArr x = (1)/(2)` or `x = (3)/(2)`
`:. 0 lt a lt b lt c lt d`


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