let z be the set of integers and R be the relation on Z defined as: aRb if and only if 1+ab>0 then
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Given relation is is
Considering both and are real numbers, we know that
Then is a symmetric relation.
Then is a reflexive relation.
Let and Then
But
is not a relation.
Hence is not a equivalence relation, but is a reflexive and symmetric relation.
reflexive and symmetric relation.