give an example of an relation whichis symmetric and transitive but not reflexive
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LetA=−5,−6.
Define a relation R on A as:
R=(−5,−6),(−6,−5),(−5,−5)
Relation R is not reflexive as(−6,−6)∉ R.
Relation Ri s symmetric as(−5,−6)∈ R and (−6,−5)
It is seen that(−5,−6),(−6,−5)∈ R .Also,(−5,−5)∈ R.
∴The relation R is transitive.
Hence,relation R is symmetric and transitive but not reflexive.
Step-by-step explanation:
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