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On (A={1,2,3,4}), (R={(a,b):a<b}). Which statement is correct about (R)?समुच्चय (A={1,2,3,4}) पर (R={(a,b):a<b}) है। (R) के लिए कौन सा कथन सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Not symmetricसममित नहीं है
Step 1: ((1,2)) is in the relation because (1<2). Step 2: The reverse ((2,1)) is not in the relation because (2<1) is false. Step 3: Order relations like less than or greater than are generally not symmetric.चरण 1: ((1,2)) संबंध में है क्योंकि (1<2)। चरण 2: उल्टा युग्म ((2,1)) संबंध में नहीं है क्योंकि (2<1) असत्य है। चरण 3: छोटा या बड़ा जैसे क्रम संबंध सामान्यतः सममित नहीं होते।
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