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On (A={1,2,3,4}), (R={(2,2),(2,3),(3,4),(2,4)}). Is (R) transitive?समुच्चय (A={1,2,3,4}) पर (R={(2,2),(2,3),(3,4),(2,4)}) है। क्या (R) संक्रामी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Yesहाँ
Step 1: ((2,3)) and ((3,4)) require ((2,4)), which is present. Step 2: Chains involving ((2,2)) give pairs such as ((2,2)) or ((2,3)), which are already present. Step 3: Check each possible chain separately.चरण 1: ((2,3)) और ((3,4)) से ((2,4)) चाहिए, जो मौजूद है। चरण 2: ((2,2)) के साथ बनने वाली जरूरतें भी ((2,2)) या ((2,3)) जैसे मौजूद युग्म देती हैं। चरण 3: हर संभावित श्रृंखला को अलग-अलग मिलाकर देखें।
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