यदि \(U=\mathbb{R}\), \(A={x:x\in\mathbb{R},|x+1|\ge 4}\), तो (A') क्या है?
If \(U=\mathbb{R}\), \(A={x:x\in\mathbb{R},|x+1|\ge 4}\), what is (A')?
Explanation opens after your attempt
Correct Answer
A. ((-5,3))
Concept
The solution of \(|x+1|\ge 4\) is \(x\le -5\) or \(x\ge 3\). Hence its complement is (-5<x<3).
Why this answer is correct
The correct answer is A. ((-5,3)). The solution of \(|x+1|\ge 4\) is \(x\le -5\) or \(x\ge 3\). Hence its complement is (-5<x<3).
Exam Tip
\(|x+1|\ge 4\) का हल \(x\le -5\) या \(x\ge 3\) है। इसलिए इसका पूरक (-5<x<3) है।
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