2025 IGCSE Additional Mathematics October/November 0606/12 Q1

2025 IGCSE Additional Mathematics October/November 0606/12 Q1

5 marks
  1. On the axes, sketch the graph of \(y=(1-x)(x-5)(2x-5)\), stating the intercepts with the axes.[3]
  2. Hence solve the inequality \((1-x)(x-5)(2x-5)\le0\).[2]

Solution:

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Answer:(a) Intercepts \((1,0),(\dfrac52,0),(5,0),(0,25)\); sketch shown. (b) \(1\le x\le\dfrac52\) or \(x\ge5\)

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