Answer:
R = {(a, b) : a b, a, b R }
Reflexive
: As a a a
(a,
a) a
R is
reflexive.
Symmetric
: As 1, 2 and 1 2
(1, 2)
But
is not
symmetric.
Transitive
: (a, b) and (b, c) a, b,c
and
R is
transitive.
Hence
R is reflexive and transitive but not
symmetric.
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