1. The problem asks: What is a relation that is reflexive, anti-symmetric, and transitive called?
2. Recall the definitions:
- Reflexive: Every element is related to itself.
- Anti-symmetric: If $aRb$ and $bRa$, then $a = b$.
- Transitive: If $aRb$ and $bRc$, then $aRc$.
3. A relation with these properties is called a **partially ordered set (poset)**.
4. Therefore, the correct answer is **C) Poset**.
Relation Properties 6Ac680
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.