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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. What is the equivalence class of (4)?समुच्चय (A={1,2,3,4,5,6}) पर (aRb) तब है जब (a) और (b) दोनों अभाज्य हों या दोनों अभाज्य न हों। (4) का तुल्यता वर्ग क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ({1,4,6})({1,4,6})
Step 1: In the given set, (2,3,5) are prime. Step 2: (4) is not prime, so its class is ({1,4,6}). Step 3: For classification relations, first separate the groups clearly.चरण 1: दिए गए समुच्चय में (2,3,5) अभाज्य हैं। चरण 2: (4) अभाज्य नहीं है, इसलिए उसका वर्ग (1,4,6) है। चरण 3: ऐसी वर्गीकरण शर्तों में पहले समूहों को साफ-साफ अलग करें।
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