यदि \(A=\{1,2,3,4,5,6\}\) और \(B=\{2,4,6\}\) हैं, तो \(A\setminus B\) तथा \(B\setminus A\) क्रमशः क्या हैं?
If \(A=\{1,2,3,4,5,6\}\) and \(B=\{2,4,6\}\), what are \(A\setminus B\) and \(B\setminus A\) respectively?
Explanation opens after your attempt
A. \( {1,3,5},\emptyset \)
Concept
Since \(B\subseteq A\), \(A\setminus B={1,3,5}\) and \(B\setminus A=\emptyset\). In a subset case, smaller minus larger is empty.
Why this answer is correct
The correct answer is A. \( {1,3,5},\emptyset \). Since \(B\subseteq A\), \(A\setminus B={1,3,5}\) and \(B\setminus A=\emptyset\). In a subset case, smaller minus larger is empty.
Exam Tip
\(B\subseteq A\), इसलिए \(A\setminus B={1,3,5}\) और \(B\setminus A=\emptyset\)। उपसमुच्चय में छोटे से बड़े का अंतर रिक्त होता है।
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