Q. 12 A5.0( 6 Votes )

State whether the following statements are true or false. Justify.

For an arbitrary binary operation on a set N, a a = a a N.

Answer :

For an arbitrary binary operation on a set N, a a = a a N.

The above statement is false.


Explanation: It is given that an operation on a set N, a a = a a N


Then, in particular, for b = a = 3, we get,


3 * 3 = 3 + 3 = 6 ≠ 3


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