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If (R) is a symmetric relation, which statement about (R\cup R^{-1}) is correct?यदि (R) सममित संबंध है, तो (R\cup R^{-1}) के बारे में कौन सा कथन सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: it will be equal to (R)यह (R) के बराबर होगा
Step 1: In a symmetric relation, the reverse of every pair is already in the relation. Step 2: Hence (R^{-1}=R). Step 3: Therefore (R\cup R^{-1}=R\cup R=R).चरण 1: सममित संबंध में हर युग्म का उल्टा युग्म भी उसी संबंध में होता है। चरण 2: इसलिए (R^{-1}=R)। चरण 3: अतः (R\cup R^{-1}=R\cup R=R)।
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