यदि \(R\subseteq S\), तो प्रतिलोम संबंधों के बारे में कौन सा कथन सही है?
If \(R\subseteq S\), which statement about inverse relations is correct?
Explanation opens after your attempt
Correct Answer
A. \(R^{-1}\subseteq S^{-1}\)
Concept
If \((a,b)\in R^{-1}\), then \((b,a)\in R\).
Why this answer is correct
Since \(R\subseteq S\), \((b,a)\in S\).
Exam Tip
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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