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
Correct Answer

A. \( {1,3,5},\emptyset \)

Step 1

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.

Step 2

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.

Step 3

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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Mathematics Answer, Explanation and Revision Hints

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?

Correct Answer: A. \( {1,3,5},\emptyset \). Explanation: \(B\subseteq A\), इसलिए \(A\setminus B={1,3,5}\) और \(B\setminus A=\emptyset\)। उपसमुच्चय में छोटे से बड़े का अंतर रिक्त होता है। / Since \(B\subseteq A\), \(A\setminus B={1,3,5}\) and \(B\setminus A=\emptyset\). In a subset case, smaller minus larger is empty.

Which concept should I revise for this Mathematics MCQ?

Since \(B\subseteq A\), \(A\setminus B={1,3,5}\) and \(B\setminus A=\emptyset\). In a subset case, smaller minus larger is empty.

What exam hint can help solve this Mathematics question?

\(B\subseteq A\), इसलिए \(A\setminus B={1,3,5}\) और \(B\setminus A=\emptyset\)। उपसमुच्चय में छोटे से बड़े का अंतर रिक्त होता है।