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On (A={2,4,6,8}), (a*b=\max(a,b)). What is its identity element?समुच्चय (A={2,4,6,8}) पर (a*b=\max(a,b)) है। इसका तत्समक अवयव क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (2)(2)
Step 1: For identity (e), (\max(a,e)=a) for all (a\in A). Step 2: This happens only when (e) is the smallest element. Step 3: The smallest element of this set is (2).चरण 1: तत्समक (e) के लिए (\max(a,e)=a) सभी (a\in A) के लिए चाहिए। चरण 2: ऐसा तभी होगा जब (e) सबसे छोटा अवयव हो। चरण 3: इस समुच्चय में सबसे छोटा अवयव (2) है।
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