On the set of natural numbers the relation R defined by " xRy if x + 2y = 1" . Discuss the relation for reflexivity, symmetricity, transitivity and equivalence relation
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Let then,
Hence R is not reflexive.
Assume
From definition,
Assume so that,
Hence R is not symmetric.
Assume
Then,
And,
From (1),
This implies R is not transitive.
Hence R is not an equivalence relation.
amitkumar44481:
Perfect :-)
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