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Tim Gan Math

2015 A-Level H2 Mathematics

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Question 2Inequalities6 marks
  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]
Solution step 1, image 1
Solution step 2, image 1
Solution step 2, image 2

Final Answer:

(ii) ${-\sqrt{3} < x < -1 + \sqrt{2}}$ or ${x > \sqrt{3}}$