If f: R \to 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:

Correct Answer is : φ, the empty set

N, the set of all natural numbers

EAMCET Engineering 2006 Solved Paper

Section: Mathematics

Question : 81 of 160

Marks: +1, -0

If f:R→R is defined by f(x)=x−[x]−‌

for x∈R, where [x] is the greatest integer not exceeding x, then {x∈R:f(x)=‌

} is equal to:

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