यदि \(x\in\mathbb{Z}\) और (|x-1|<4), तो संख्या रेखा पर कौन-सा समुच्चय बनेगा?
If \(x\in\mathbb{Z}\) and (|x-1|<4), which set will appear on the number line?
Explanation opens after your attempt
Correct Answer
A. ({-2,-1,0,1,2,3,4})
Concept
(|x-1|<4) gives (-3<x<5), so integers go from (-2) to (4). In exams, do not include strict boundaries.
Why this answer is correct
The correct answer is A. ({-2,-1,0,1,2,3,4}). (|x-1|<4) gives (-3<x<5), so integers go from (-2) to (4). In exams, do not include strict boundaries.
Exam Tip
(|x-1|<4) से (-3<x<5), इसलिए पूर्णांक (-2) से (4) तक हैं। परीक्षा में strict boundary को शामिल न करें।
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