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
A. ({1,2,3})
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.
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.
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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