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If (R={(1,2)}) and (S={(2,3)}), both are transitive individually. What about (R\cup S)?यदि (R={(1,2)}) और (S={(2,3)}), दोनों अपने-अपने रूप में संक्रमण हैं। (R\cup S) कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Not transitiveसंक्रमण नहीं
Step 1: (R\cup S={(1,2),(2,3)}). Step 2: ((1,2)) and ((2,3)) require ((1,3)), which is missing. Step 3: This example shows that union is not always transitive.चरण 1: (R\cup S={(1,2),(2,3)}) होगा। चरण 2: ((1,2)) और ((2,3)) से ((1,3)) चाहिए, पर वह नहीं है। चरण 3: यह उदाहरण याद रखें कि संघ हमेशा संक्रमण नहीं रहता।
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