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If (R\subseteq S), which statement about inverse relations is correct?यदि (R\subseteq S), तो प्रतिलोम संबंधों के बारे में कौन सा कथन सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (R^{-1}\subseteq S^{-1})(R^{-1}\subseteq S^{-1})
Step 1: If ((a,b)\in R^{-1}), then ((b,a)\in R). Step 2: Since (R\subseteq S), ((b,a)\in S). Step 3: Therefore ((a,b)\in S^{-1}), so (R^{-1}\subseteq S^{-1}).चरण 1: यदि ((a,b)\in R^{-1}), तो ((b,a)\in R)। चरण 2: (R\subseteq S) होने से ((b,a)\in S) भी होगा। चरण 3: इसलिए ((a,b)\in S^{-1}), अतः (R^{-1}\subseteq S^{-1})।
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