The relation represented by
$R = \{(1,1), (2,2), (3,3), (1,3), (3,2), (1,2)\}$
on the set $A = \{1, 2, 3\}$ is what kind of relation?
🎥 Video solution / Text Solution of this question is given below:
R includes $(1,1), (2,2), (3,3)$ → Reflexive.
Check symmetry: $(1,2)$ exists but $(2,1)$ does not → Not symmetric.
Check transitivity: $(1,2)$ and $(2,2)$ imply $(1,2)$ already → transitive holds.
Hence, relation is reflexive and transitive but not symmetric.