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On (A={1,2,3}), why is (R={(a,b):a<b}) not symmetric?(A={1,2,3}) पर (R={(a,b):a<b}) सममित क्यों नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because if (a<b), then (b<a) is not trueक्योंकि (a<b) होने पर (b<a) सत्य नहीं होता
Step 1: (a<b) is a one-direction rule. Step 2: ((1,2)) belongs, but ((2,1)) does not satisfy the rule. Step 3: If at least one reverse pair fails, the relation is not symmetric.चरण 1: (a<b) एक दिशा वाला नियम है। चरण 2: ((1,2)) है, पर ((2,1)) नियम को पूरा नहीं करता। चरण 3: कम-से-कम एक उलटा युग्म असफल हो तो संबंध सममित नहीं है।
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