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On (A={1,2,3,4,5,6}), (aRb) holds when (a) and (b) are both prime or both not prime. Which is the equivalence class of (1)?समुच्चय (A={1,2,3,4,5,6}) पर (aRb) तब है जब (a) और (b) दोनों अभाज्य हों या दोनों अभाज्य न हों। (1) का तुल्यता वर्ग कौन सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ({1,4,6})({1,4,6})
Step 1: (1) is not prime. Step 2: In the given set, (4) and (6) are also not prime. Step 3: The relation creates two classes: prime and non-prime elements.चरण 1: (1) अभाज्य नहीं है। चरण 2: दिए गए समुच्चय में (4) और (6) भी अभाज्य नहीं हैं। चरण 3: अभाज्य और अभाज्य न होने के आधार पर दो वर्ग बनते हैं।
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