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JEE MATHEMATICS MCQ: SET THEORY

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Analyzing +4 | -1
Let A={x∈R:∣x+1∣<2}   and    B={x∈R:∣x−1∣⩾2}.A = \left\{ {x \in R:|x + 1| < 2} \right\}{\text{ }}\,\,{\text{and }}\,\,\,B = \left\{ {x \in R:|x - 1| \geqslant 2} \right\}. Then which one of the following statements is NOT true?
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Correct option: B
B−A=R−(−3,1)B - A = R - ( - 3,1)
The statement B−A=R−(−3,1)B - A = R - ( - 3,1) is NOT true because B−AB - A should be R−(−3,3)R - (-3, 3). Therefore, option B is the correct answer.

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