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
Correct Answer

A. ({1,3,4,5,6,7,8})

Step 1

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}).

Step 2

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}).

Step 3

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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FAQs

Mathematics Answer, Explanation and Revision Hints

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 \(A' \cup B'\)?

Correct Answer: A. ({1,3,4,5,6,7,8}). Explanation: डी मॉर्गन से (A' \cup B'=\(A \cap B\)') है। \(A \cap B={2}\), इसलिए पूरक ({1,3,4,5,6,7,8}) है। / By De Morgan, (A' \cup B'=\(A \cap B\)'). Since \(A \cap B={2}\), the complement is ({1,3,4,5,6,7,8}).

Which concept should I revise for this Mathematics MCQ?

By De Morgan, (A' \cup B'=\(A \cap B\)'). Since \(A \cap B={2}\), the complement is ({1,3,4,5,6,7,8}).

What exam hint can help solve this Mathematics question?

डी मॉर्गन से (A' \cup B'=\(A \cap B\)') है। \(A \cap B={2}\), इसलिए पूरक ({1,3,4,5,6,7,8}) है।