N2015 P1 Q2

N2015 P1 Q2

6 marks
Past Year National Exams
Free
  1. 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]
  2. Solve the inequality \(\left| \frac{x+1}{1-x} \right| < x+2\).[3]

Video Solution:

Default solution

Timothy Gan
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Answer:(ii) \({-\sqrt{3} < x < -1 + \sqrt{2}}\) or \({x > \sqrt{3}}\)

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