Let R be a relation on real numbers defined by aRb if a ≤ b². This relation is:

Let R be a relation on real numbers defined by aRb if a ≤ b². This relation is:

• A. Reflexive and symmetric
• B. Symmetric and transitive
• C. Reflexive and transitive
• D. Neither reflexive, symmetric, nor transitive

Answer: D) Neither reflexive, symmetric, nor transitive

Explanation: Not reflexive: 0.5 ≤ (0.5)² is false. Not symmetric: 1 ≤ 2² is true but 2 ≤ 1² is false. Not transitive: 2 ≤ (−1.5)² and −1.5 ≤ 1² are true, but 2 ≤ 1² is false.