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On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3)}). Why is this not an equivalence relation?समुच्चय (A={1,2,3}) पर (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3)}) है। यह तुल्यता सम्बन्ध क्यों नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because ((3,1)) is missingक्योंकि ((3,1)) नहीं है
Step 1: ((1,3)) belongs to the relation. Step 2: For symmetry, ((3,1)) must also belong to it. Step 3: Since ((3,1)) is missing, symmetry fails and the relation is not an equivalence relation.चरण 1: ((1,3)) सम्बन्ध में है। चरण 2: सममिति के लिए ((3,1)) भी होना चाहिए। चरण 3: ((3,1)) न होने से सममिति टूट जाती है, इसलिए यह तुल्यता सम्बन्ध नहीं है।
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