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On (A={1,2,3}), (R={(a,b):a<b}). Why is (R) not reflexive?(A={1,2,3}) पर (R={(a,b):a<b}) है। (R) परावर्ती क्यों नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because (a<a) is never trueक्योंकि (a<a) कभी सत्य नहीं होता
Step 1: Reflexivity requires ((a,a)). Step 2: The rule (a<b) would require (a<a), which is false. Step 3: Strict inequality relations are usually not reflexive.चरण 1: परावर्ती होने के लिए ((a,a)) चाहिए। चरण 2: नियम (a<b) में (a<a) चाहिए होगा, जो असत्य है। चरण 3: कठोर असमानता वाले संबंध अक्सर परावर्ती नहीं होते।
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