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If (R={(1,2),(2,3),(3,3),(1,3),(3,2),(2,2)}), is (R) transitive or not?यदि (R={(1,2),(2,3),(3,3),(1,3),(3,2),(2,2)}), तो (R) संक्रमण है या नहीं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Yesहाँ
Step 1: ((1,2)) and ((2,3)) require ((1,3)), which is present. Step 2: ((2,3)) and ((3,2)) require ((2,2)), and ((3,2)) and ((2,3)) require ((3,3)), both present. Step 3: In hard lists, conclude only after pair-by-pair checking.चरण 1: ((1,2)) और ((2,3)) से ((1,3)) मौजूद है। चरण 2: ((2,3)) और ((3,2)) से ((2,2)), तथा ((3,2)) और ((2,3)) से ((3,3)) मौजूद हैं। चरण 3: कठिन सूची में जोड़ी-दर-जोड़ी जांच करके ही निष्कर्ष दें।
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