\(यदि (U=\mathbb{R}), (A={x:-5\le x<-1\) या \(2<x\le 7}), तो (A') क्या है\)?
\(If (U=\mathbb{R}), (A={x:-5\le x<-1\) or \(2<x\le 7}), what is (A')\)?
Explanation opens after your attempt
Correct Answer
A. (\(-\infty,-5\)\cup[-1,2]\cup\(7,\infty\))
Concept
(-5) and (7) are in (A), while (-1) and (2) are not in (A). Therefore the complement is (\(-\infty,-5\)\cup[-1,2]\cup\(7,\infty\)).
Why this answer is correct
The correct answer is A. (\(-\infty,-5\)\cup[-1,2]\cup\(7,\infty\)). (-5) and (7) are in (A), while (-1) and (2) are not in (A). Therefore the complement is (\(-\infty,-5\)\cup[-1,2]\cup\(7,\infty\)).
Exam Tip
(-5) और (7) (A) में हैं, जबकि (-1) और (2) (A) में नहीं हैं। इसलिए पूरक (\(-\infty,-5\)\cup[-1,2]\cup\(7,\infty\)) है।
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