If $f: R \rightarrow R$ is defined by $f(x)=x-[x]-\frac{1}{2}$ for $x \in R$,where $[x]$ is the greatest integer not exceeding $x$,then $\{x \in R: f(x)=\frac{1}{2}\}$ is equal to :
- A$Z$,the set of all integers
- B$N$,the set of all natural numbers
- C$\phi$,the empty set
- D$R$
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