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Question

Let A=[xxR,|x|<1];B=[xxR,|x1|1] and AB=RD, then the set D is

A
[x:1<x2]
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B
[x:1x<2]
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C
[x:1x2]
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D
None of these
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Solution

The correct option is B [x:1x<2]
A={x:xR,|x|<1}B={x:xR,|x1|1}AB=RD|x|<11<x<1A(1,1)|x1|1(x1)1 or (x1)1x2 or x0B(,0][2,)AB(,1)[2,)ABR[1,2)

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