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Question
Suppose $R$ is a relation on a set $A$ where $A$ = {1, 2, 3} and $R$ = {(1,1), (1,2), (1,3), (2,3), (3,1)}. Check if $R$ is a symmetric relation.
Solution
The correct answer is $R$ is not a symmetric relation
Explanation
As we can see (1, 2) ∈ R. For $R$ to be symmetric (2, 1) should be in $R$ but (2, 1) $\notin R$.
Hence, $R$ is not a symmetric relation.
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