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State whether the following statements a...

State whether the following statements 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`

Text Solution

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(i) false
(ii) true
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