Answer:
R = {(a, b) : a a,
b,
}
Reflexive :
i.e.
(a,
a)
Hence R is not reflexive.
Symmetric : As 2, 5
and 2 < 25
i.e. 2 < 52.
(2,
5)
But
4
i.e.
but
(5, 2)
Hence R is not symmetric.
Transitive : As
3, ?2 and ?1
and
3 < (2)2 and ?2 < (?1)2.
and (?2, ?1)
But
is
not symmetric.
Transitive : (a,
b)
and (b, c)
and
is
transitive.
Hence R is reflexive and transitive but not
symmetric.
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