Sets, Relations and Functions

Concept:Checking if "greater than" ($>$) over real numbers is reflexive, symmetric, or transitive.Explanation:• Reflexive: For any real $a$, $a > a$ is false. So not reflexive.• Symmetric: If $a > b$, then $b > a$ is false (e.g., $5 > 3$ but $3 > 5$ is false). So not symmetric.• Transitive: If $a > b$ and $b > c$, then $a > c$ always holds for real numbers. So it is transitive.• Equivalence relation requires all three properties; it fails reflexive and symmetric.Answer:Transitive relation only.