यदि \(U=\mathbb{R}\), \(A={x:-2<x\le 4}\) और \(B={x:1\le x<7}\), तो \(A'\cup B'\) क्या है?
If \(U=\mathbb{R}\), \(A={x:-2<x\le 4}\) and \(B={x:1\le x<7}\), what is \(A'\cup B'\)?
Explanation opens after your attempt
Correct Answer
A. (\(-\infty,1\)\cup\(4,\infty\))
Concept
(A'\cup B'=\(A\cap B\)'), and \(A\cap B=[1,4]\). Therefore the complement is (\(-\infty,1\)\cup\(4,\infty\)).
Why this answer is correct
The correct answer is A. (\(-\infty,1\)\cup\(4,\infty\)). (A'\cup B'=\(A\cap B\)'), and \(A\cap B=[1,4]\). Therefore the complement is (\(-\infty,1\)\cup\(4,\infty\)).
Exam Tip
(A'\cup B'=\(A\cap B\)') और \(A\cap B=[1,4]\) है। इसलिए पूरक (\(-\infty,1\)\cup\(4,\infty\)) होगा।
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