Aspire Faculty ID #13937 · Topic: JAMIA MILLIA ISLAMIA MCA 2020 · Just now
JAMIA MILLIA ISLAMIA MCA 2020

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?

Solution

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.
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