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On (A={1,2,3}), (aRb) when (a\le b). Why is it not an equivalence relation?समुच्चय (A={1,2,3}) पर (aRb) तब है जब (a\le b)। यह समतुल्यता संबंध क्यों नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because it is not symmetricक्योंकि यह सममित नहीं है
Step 1: (1\le 2), so ((1,2)\in R). Step 2: But (2\le 1) is false, so ((2,1)\notin R). Step 3: Order relations are often not symmetric, so they are not equivalence relations.चरण 1: (1\le 2) है, इसलिए ((1,2)\in R)। चरण 2: लेकिन (2\le 1) गलत है, इसलिए ((2,1)\notin R)। चरण 3: क्रम संबंध अक्सर सममित नहीं होते, इसलिए वे समतुल्यता संबंध नहीं बनते।
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