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JEE MATHEMATICS MCQ: SET THEORY

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Let A=[x:x∈R,∣x∣<1]B=[x:x∈R,∣x−1∣≥1]A=[x: x \in R,|x|<1] B=[x: x \in R,|x-1| \geq 1] and A∪B=R−DA \cup B=R-D, then the set D\mathrm{D} is:
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Correct option: B
[x:1≤x<2][x: 1 \leq x<2]
Option B ([x:1≤x<2][x: 1 \leq x<2]) is correct because it represents the set D such that A∪B=R−DA \cup B = R - D, where A and B are defined by the given inequalities.

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