Show that the relation R is the set {1,2,3} given by R = {1\2}, {2,1} is symmetric but neither reflexive nor transitive .
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Show that the relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} is symmetric but neither reflexive nor transitive. Let A = {1, 2, 3}. ... ∴ R is not reflexive. Now, as (1, 2) ∈ R and (2, 1) ∈ R, then R is symmetric.
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