If \mid \frac{x + 1}{x - 1} \mid > \frac{x + 1}{x - 1}, then

Question 29

If $$\mid \frac{x + 1}{x - 1} \mid > \frac{x + 1}{x - 1}$$, then

Solution

|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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