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Question

If A={xR:|x|<2} and B={xR:|x2|3}, then

A
AB=(2,1)
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B
BA=R(2,5)
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C
AB=[1,2)
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D
AB=R(2,5)
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Solution

The correct option is B BA=R(2,5)
A={xR:|x|<2}
A={x:x(2,2)}

and B={xR:|x2|3}
x23 or x23
x5 or x1
B={x:x(,1][5,)}

Now, AB=(2,1]
AB=(,2)[5,)
AB=(1,2)
BA=(,2][5,)

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