यदि \(U=\mathbb{R}\), (A=(1,4]), (B=[4,7)), तो (\(A\cup B\)') क्या है?
If \(U=\mathbb{R}\), (A=(1,4]), (B=[4,7)), what is (\(A\cup B\)')?
Explanation opens after your attempt
Correct Answer
A. (\(-\infty,1]\cup[7,\infty\))
Concept
\(A\cup B=(1,7)\) because the intervals join at (4), and (7) is not included. Hence the complement is (\(-\infty,1]\cup[7,\infty\)).
Why this answer is correct
The correct answer is A. (\(-\infty,1]\cup[7,\infty\)). \(A\cup B=(1,7)\) because the intervals join at (4), and (7) is not included. Hence the complement is (\(-\infty,1]\cup[7,\infty\)).
Exam Tip
\(A\cup B=(1,7)\) क्योंकि (4) दोनों ओर से जुड़ा है और (7) शामिल नहीं है। इसलिए पूरक (\(-\infty,1]\cup[7,\infty\)) है।
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