Let S be the set of all real numbers and let R be a relation on S, defined by aRb |a-b| ≤ 1. Then, R is Option 1: reflexive and symmetric but not transitive. Option 2: reflexive and transitive but not symmetric Option 3: symmetric and transitive but not reflexive Option 4: an equivalence relation

The answer is 'reflexive and symmetric but not transitive.'. View full solution:

Let S be the set of all real numbers and <=t R be a relation on S, defined by aRb |a-b| \<=q 1. Then, R is

ref<=xive and symmetric but not transitive.

ref<=xive and transitive but not symmetric

symmetric and transitive but not ref<=xive

CUET Mathematics 2026 29th May Shift 2

Algebra

Medium

core

reflexive and symmetric but not transitive.

reflexive and transitive but not symmetric

symmetric and transitive but not reflexive

an equivalence relation

✅ Correct Option: 1