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On (A={2,4,6,8}), (a*b=\min(a,b)). Which is the identity element?समुच्चय (A={2,4,6,8}) पर (a*b=\min(a,b)) है। तत्समक अवयव कौन-सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (8)(8)
Step 1: For identity (e), (\min(a,e)=a) for all (a\in A). Step 2: This is possible only when (e) is the greatest element. Step 3: Hence the identity here is (8).चरण 1: तत्समक (e) के लिए (\min(a,e)=a) सभी (a\in A) के लिए चाहिए। चरण 2: यह तभी संभव है जब (e) सबसे बड़ा अवयव हो। चरण 3: इसलिए यहाँ तत्समक (8) है।
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