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On (A={1,2,3,4,5}), (R={(a,b):|a-b|<0}). What is (R) with respect to reflexivity?समुच्चय (A={1,2,3,4,5}) पर (R={(a,b):|a-b|<0}) है। (R) कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is not reflexiveप्रतिवर्ती नहीं है
Step 1: Reflexivity would require (|a-a|<0) for every (a). Step 2: But (|a-a|=0), and (0<0) is false. Step 3: With strict inequalities, diagonal pairs often fail.चरण 1: प्रतिवर्ती होने के लिए (|a-a|<0) हर (a) पर सत्य होना चाहिए। चरण 2: (|a-a|=0), पर (0<0) असत्य है। चरण 3: कड़ा असमान चिन्ह देखकर विकर्ण युग्म जरूर जांचें।
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