Sketch the curve with equation \(y=\left| \frac{x+1}{1-x} \right|\), stating the equations of the asymptotes. On the same diagram, sketch the line with equation \(y=x+2\).[3]
Solve the inequality \(\left| \frac{x+1}{1-x} \right| < x+2\).[3]
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Timothy Gan
Answer:(ii) \({-\sqrt{3} < x < -1 + \sqrt{2}}\) or \({x > \sqrt{3}}\)