Question

Let ρ be the relation on the set R of all real numbers defined by aρb iff |a - b| ≤ 1/2. Then ρ is

(A) reflexive and symmetric but not transitive

(B) symmetric and transitive but not reflexive

(C) transitive but neither reflexive non symmetric

(D) reflexive and transitive but not symmetric

Answer 1

(A) reflexive and symmetric but not transitive