Question

A relation $R$ on the set $A = \{1, 2, 3\}$ defined as $R = \{(1, 2), (2, 1), (2, 2)\}$ is:

• A. Reflexive only
• B. Reflexive and Transitive
• C. Symmetric and Transitive
• D. Symmetric only

Hint:

A single counterexample like $(1,2) \text{ and } (2,1) \Rightarrow (1,1) \notin R$ is enough to completely disprove transitivity!

Answer 1

The Correct Option is D