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Question

Let A={x:xϵR,1x1} and B={x:xϵR,|x|1} Are the sets A and B equal ?

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Solution

Given A={x:xϵR,1x1}
A=[1,1]

Given B={x:xϵR,|x|1}
B={x:xϵR,1x1} (|x|11x1)
B=[1,1]

So, the sets A and B are equal .

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