Question

Let \( R \) be the relation on the set \( \mathbb{R} \) of all real numbers, defined by \( aRb \) if \( |a - b| \leq 1 \). Then, \( R \) is

• A. reflexive and symmetric only
• B. reflexive and transitive only
• C. equivalence
• D. None of the above

Hint:

To check for equivalence, verify reflexivity, symmetry, and transitivity.

Answer 1

The Correct Option is A