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Why is (R={(1,1),(2,2),(1,2),(2,1)}) not reflexive on (A={1,2,3})?(A={1,2,3}) पर (R={(1,1),(2,2),(1,2),(2,1)}) स्वतः क्यों नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ((3,3)) is absent((3,3)) अनुपस्थित है
Step 1: Reflexivity needs the diagonal pair for every element. Step 2: For element (3), ((3,3)) is missing so the condition fails. Step 3: For reflexivity check every element of the base set.चरण 1: स्वतः होने के लिए हर अवयव का विकर्ण युग्म चाहिए। चरण 2: (3) के लिए ((3,3)) नहीं है इसलिए शर्त पूरी नहीं हुई। चरण 3: स्वतः गुण में पूरे आधार समुच्चय के सभी अवयव जाँचें।
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