Question
State whether the following statements are true or false. Justify.
For an arbitrary binary operation * on a set N, a * a = ∀ a a * N.
Solution
Define an operation * on N as:
a * b = a + b ∀ a, b ∈ N
Then, in particular, for b = a = 3, we have:
3 * 3 = 3 + 3 = 6 ≠ 3
Therefore, statement (i) is false.
Is there an error in this question or solution?
Solution State Whether the Following Statements Are True Or False. Justify. for an Arbitrary Binary Operation * on a Set N, A * A = ∀ A A * N. Concept: Concept of Binary Operations.
