यदि \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{1,2,3,4,5\}\) और \(B=\{4,5,6,7\}\) हैं, तो \(A\cap B^{c}\) क्या है?

If \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{1,2,3,4,5\}\), and \(B=\{4,5,6,7\}\), what is \(A\cap B^{c}\)?

Explanation opens after your attempt
Correct Answer

A. ({1,2,3})

Step 1

Concept

\(B^{c}={1,2,3,8,9,10}\), so \(A\cap B^{c}={1,2,3}\). First find the complement and then the intersection.

Step 2

Why this answer is correct

The correct answer is A. ({1,2,3}). \(B^{c}={1,2,3,8,9,10}\), so \(A\cap B^{c}={1,2,3}\). First find the complement and then the intersection.

Step 3

Exam Tip

\(B^{c}={1,2,3,8,9,10}\), इसलिए \(A\cap B^{c}={1,2,3}\)। पहले पूरक फिर प्रतिच्छेद करें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{1,2,3,4,5\}\) और \(B=\{4,5,6,7\}\) हैं, तो \(A\cap B^{c}\) क्या है? / If \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{1,2,3,4,5\}\), and \(B=\{4,5,6,7\}\), what is \(A\cap B^{c}\)?

Correct Answer: A. ({1,2,3}). Explanation: \(B^{c}={1,2,3,8,9,10}\), इसलिए \(A\cap B^{c}={1,2,3}\)। पहले पूरक फिर प्रतिच्छेद करें। / \(B^{c}={1,2,3,8,9,10}\), so \(A\cap B^{c}={1,2,3}\). First find the complement and then the intersection.

Which concept should I revise for this Mathematics MCQ?

\(B^{c}={1,2,3,8,9,10}\), so \(A\cap B^{c}={1,2,3}\). First find the complement and then the intersection.

What exam hint can help solve this Mathematics question?

\(B^{c}={1,2,3,8,9,10}\), इसलिए \(A\cap B^{c}={1,2,3}\)। पहले पूरक फिर प्रतिच्छेद करें।