Let \[\rho \] be the relation on the set R of all real numbers defined by setting \[a\rho b\] if f\[\left| a-b \right|\le \frac{1}{2}.\]then, \[\rho \] is

Symmetric and transitive but not reflexive

Reflexive and symmetric but not transitive

Transitive but neither reflexive nor symmetric

Let \[\rho \] be the relation on the set R of all real numbers defined

1.	Let \[\rho \] be the relation on the set R of all real numbers defined by setting \[a\rho b\] if f\[\left\| a-b \right\|\le \frac{1}{2}.\]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
Answer» B. Symmetric and transitive but not reflexive

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Let \[\rho \] be the relation on the set R of all real numbers defined by setting \[a\rho b\] if f\[\left| a-b \right|\le \frac{1}{2}.\]then, \[\rho \] is

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