JEE Mains Model Paper 13

|a - a| = 0 < 1 ∴ a R a ∀ a ∊ R
∴ R is reflexive
a R b ⇒ |a - b| ≤ 1 and |b−a| ≤ 1 ⇒ b R a
∴ R is symmetric But 1 R 2, 2 R 3 ⇒ 1 R 3 [∵ |1 - 3| = 2 > 1]
∴ R is not transitive