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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) स्वतुल्य 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: For a self-pair, put (b=a) in (a>b). Step 2: This gives (a>a), which is false. Step 3: Hence the relation (>) is not reflexive.चरण 1: अपने-आप वाले युग्म के लिए (a>b) में (b=a) रखें। चरण 2: तब (a>a) मिलता है, जो असत्य है। चरण 3: इसलिए (>) सम्बन्ध स्वतुल्य नहीं होता।
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