यदि \(U={1,2,\ldots,8}\), \(A=\{1,2,5\}\), \(B=\{2,4,6\}\), तो \(A' \cup B'\) क्या है?
If \(U={1,2,\ldots,8}\), \(A=\{1,2,5\}\), and \(B=\{2,4,6\}\), what is \(A' \cup B'\)?
Explanation opens after your attempt
A. ({1,3,4,5,6,7,8})
Concept
By De Morgan, (A' \cup B'=\(A \cap B\)'). Since \(A \cap B={2}\), the complement is ({1,3,4,5,6,7,8}).
Why this answer is correct
The correct answer is A. ({1,3,4,5,6,7,8}). By De Morgan, (A' \cup B'=\(A \cap B\)'). Since \(A \cap B={2}\), the complement is ({1,3,4,5,6,7,8}).
Exam Tip
डी मॉर्गन से (A' \cup B'=\(A \cap B\)') है। \(A \cap B={2}\), इसलिए पूरक ({1,3,4,5,6,7,8}) है।
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