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Question

Match the following binary operations on the set of Real numbers with their identities.

A
3
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B
5
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C
13
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D
-2
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Solution

Consider the given operations:
a) ab=(a+b)3
If e is the identity, then ae=a
a+e3=a
e=3

b) ab=ab5
If e is the identity, then ae=a
ae5=a
e=5

c) ab=3ab
If e is the identity, then ae=a
3ae=a
e=13

d) ab=a+b+2
If e is the identity, then ae=a
a+e+2=a
e=2

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