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If `f:RR rarr RR` is defined by `f(x)=x-[x] -(1)/(2)" for "x in RR`, where `[x]` is the greatest integer not exceeding x, then `{x in RR : f(x)=(1)/(2)}=`

A

z, the set of all integers

B

N, the set of all natural numbers

C

`phi`, an empty set

D

R

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The correct Answer is:
C
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