If f R rarr R is defined by f(x)=x-[x]-1...

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

A

Z, the set of all integers

B

N, the set of all natural numbers

C

`emptyset`. The empty set

D

R

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The correct Answer is:

C

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