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If (A={1,2,3}) and (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3)}), why is (R) not symmetric?यदि (A={1,2,3}) और (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3)}), तो (R) सममित क्यों नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ((3,2)) is absent((3,2)) अनुपस्थित है
Step 1: All diagonal pairs are present, so they are not the problem. Step 2: The reverse of ((2,3)), which is ((3,2)), is not in the relation. Step 3: Even when reflexivity appears to hold, check symmetry separately.चरण 1: विकर्ण युग्म सभी मौजूद हैं, इसलिए वे समस्या नहीं हैं। चरण 2: ((2,3)) का उलटा ((3,2)) संबंध में नहीं है। चरण 3: स्वतुल्यता दिखने पर भी सममितता अलग से जाँचें।
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