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On (A={1,2,3,4,5,6,7,8,9,10}), (aRb) if and only if (a) and (b) are both prime or both not prime. Which is the equivalence class of (4)?समुच्चय (A={1,2,3,4,5,6,7,8,9,10}) पर (aRb) तब और केवल तब जब (a) और (b) दोनों अभाज्य हों या दोनों अभाज्य न हों। (4) का तुल्यता वर्ग कौन-सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ({1,4,6,8,9,10})({1,4,6,8,9,10})
Step 1: (4) is not prime. Step 2: So the class of (4) contains all elements that are not prime. Step 3: (1) is also not considered prime, so it is included in this class.चरण 1: (4) अभाज्य नहीं है। चरण 2: इसलिए (4) के वर्ग में वे सभी अवयव आएँगे जो अभाज्य नहीं हैं। चरण 3: (1) भी अभाज्य नहीं माना जाता, इसलिए उसे इस वर्ग में शामिल किया जाएगा।
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