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Get Answers to all your Questions
Q.10 Give an example of a relation.
(ii) Which is transitive but neither reflexive nor symmetric.
Answers (1)
Let
Now for ,
so it is not reflexive.
Let i.e.
Then is not possible i.e.
. So it is not symmetric.
Let i.e.
and
i.e.
we can write this as
Hence, i.e.
. So it is transitive.
Hence, it is transitive but neither reflexive nor symmetric.
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