The number of solution of the equation `sgn({x})=|1-x|` is/are (where `{*}` represent fractional part function and sgn represent signum function)

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The number of solution of the equation `sgn({x})=|1-x|` is/are (where `{*}` represent fractional part function and sgn ... A. `4` B. `3` C. `2` D. `1`

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