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Question

If A={x:1<x<1;xR}, B={x:x0 or x2;xR} and AB=RC, then set C is

A
{x:1<x<2;xR}
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B
{x:1<x2;xR}
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C
{x:1x<2;xR}
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D
None of these
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Solution

The correct option is C {x:1x<2;xR}
AB=(1,1)(,0][2,)
=(,1)[2,)=R[1,2)

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