Which of the following is not correct for relation R on the set of real numbers?
Held on 31 Aug 2021 · Verified 6 Jul 2026.
(x,y)∈R⇔∣x∣−∣y∣≤1 is reflexive but not symmetric.
(x,y)∈R⇔∣x−y∣≤1 is reflexive and symmetric.
(x,y)∈R⇔0<∣x−y∣≤1 is symmetric and transitive.
(x,y)∈R⇔0<∣x∣−∣y∣≤1 is not transitive but symmetric.
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