State whether the following statement are true or false. Justify (i) f

1.	State whether the following statement are true or false. Justify (i) for an arbitrary binary operation ∗ on a set N, a∗a=a∀a∈N. (ii) If ∗ is a commutative binary operation on N, then a∗(b∗c)=(c∗b)∗a.
Answer» State whether the following statement are true or false. Justify (i) for an arbitrary binary operation $$ on a set N, $a a = a \forall a \in N$ . (ii) If $$ is a commutative binary operation on N, then $a (b * c) = (c * b) * a .$

State whether the following statement are true or false. Justify (i) for an arbitrary binary operation ∗ on a set N, a∗a=a∀a∈N. (ii) If ∗ is a commutative binary operation on N, then a∗(b∗c)=(c∗b)∗a.

Answer»

State whether the following statement are true or false. Justify
(i) for an arbitrary binary operation $*$ on a set N, $a * a = a \forall a \in N$ .

(ii) If $*$ is a commutative binary operation on N, then $a * (b * c) = (c * b) * a .$