given an example of a relation which is symmetric but neither reflexive nor transitive.
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given an example of a relation which is symmetric but neither reflexive nor transitive.
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Answer:
Relation R is not reflexive as (5, 5), (6, 6), (7, 7) ∉ R. Now, as (5, 6) ∈ R and also (6, 5) ∈ R, R is symmetric. ∴R is not transitive. Hence, relation R is symmetric but not reflexive or transitive.
Answer:
Relation R is not reflexive as (5, 5), (6, 6), (7, 7) ∉ R. Now, as (5, 6) ∈ R and also (6, 5) ∈ R, R is symmetric. ∴R is not transitive. Hence, relation R is symmetric but not reflexive or transitive.
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