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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