Advanced Mathematics | Class 10 | Exercise 1.4 1. Give an example of a relation R so that- (a) R is reflexive, but neither symmetric nor transitive. Solution: Let A = {1, 2, 3}, then exampl…
Continue ReadingAdvanced Mathematics | Class 10 | Exercise 1.3 1. If A = {1, 3}, then write the identity relation \(\ I: A→ A \). Also write the universal relation on A. Solution: Here, A = {1, 3}, then \(\ I: A→ A \) …
Continue ReadingAdvanced Mathematics | Class 10 | Exercise 1.1 1. For the set \(\ A= \) { \(\ x: x \in N \) and \(\ x \le\ 10 \) } and \(\ \emptyset \) , find the followings- (i) \(\ n(A) \) and \(\ n(\em…
Continue ReadingFor the sets A, B, C and D, we have- Property 1: \(\ A\times(B\cup C)=(A\times B)\cup (A\times C) \) Proof: Let \(\ (x,y)\in A\times (B\cup C)\) \(\ \Leftrightarrow x\in A, y\in (B\cup C) \) \(\ \Leftrightarrow …
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