यदि \(U=\mathbb{R}\), \(A=\{x:x\in\mathbb{R},(x-2)(x+5)\le 0\}\) और \(B={x:x\in\mathbb{R},|x-1|<3}\), तो (\(A'\cap B\)') क्या है?
If \(U=\mathbb{R}\), \(A=\{x:x\in\mathbb{R},(x-2)(x+5)\le 0\}\), and \(B={x:x\in\mathbb{R},|x-1|<3}\), what is (\(A'\cap B\)')?
Explanation opens after your attempt
Correct Answer
A. (\(-\infty,2]\cup[4,\infty\))
Concept
Here (A=[-5,2]) and (B=(-2,4)), so \(A'\cap B=(2,4)\). Its complement is (\(-\infty,2]\cup[4,\infty\)).
Why this answer is correct
The correct answer is A. (\(-\infty,2]\cup[4,\infty\)). Here (A=[-5,2]) and (B=(-2,4)), so \(A'\cap B=(2,4)\). Its complement is (\(-\infty,2]\cup[4,\infty\)).
Exam Tip
यहाँ (A=[-5,2]) और (B=(-2,4)) है, इसलिए \(A'\cap B=(2,4)\) होगा। इसका पूरक (\(-\infty,2]\cup[4,\infty\)) है।
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