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State Whether the Following Statements Are True Or False. Justify. for an Arbitrary Binary Operation * on a Set N, A * A = ∀ A A * N. - CBSE (Commerce) Class 12 - Mathematics

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Question

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

For an arbitrary binary operation * on a set N= ∀  N.

Solution

Define an operation * on N as:

* 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?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 1: Relations and Functions
Q: 12.1 | Page no. 26
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.
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