Answer:
Let
?e? be the identity element in Q.
(i)
a ? e = e ?
a = a
a ? e = and
e ? a = a
e = 0 and e
=
which
is not possible for every
Hence
there is no identity element.
(ii) a
* e = e * a =
a2
+ e2 = e2 + a2 = a
Let
a = 3
there is not
identity element.
(iii) a
* e = e * a =
is an
identity element.
(vi) a
e = e* a =
which
is not possible.
Identity
element does not exist.
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