Let \( \rho \) be the relation on the set \( R \) of all real numbe...

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Let \( \rho \) be the relation on the set \( R \) of all real numbers defined by setting a \( \rho b \) iff \( |a-b| \leq \frac{1}{2} \). Then \( \rho \) is
(A) reflexive and symmetric but not transitive
(B) symmetric and transitive but not reflexive
(C) transitive but neither reflexive nor symmetric
(D) none of these
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