Let R be the relation on the set R of all real numbers defined by aRb if |a-b| 1, then R is

JEE Main Mathematics question

Let be the relation on the set of all real numbers defined by if , then is

Answer: (A)

Reflexive: is true for every real , so is reflexive. Symmetric: , so . is symmetric. Transitive: take , , . Then and

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Question ID VK-007325