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|a|>a holds only if a is negative.
Similarly, $$\mid \frac{x + 1}{x - 1} \mid$$ will be greater than $$\frac{x + 1}{x - 1}$$ only if $$\frac{x + 1}{x - 1}$$ < 0
The above inequality is true if x lies in the range $$\in$$ (-1,1)
Hence, B is the correct answer.
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