2025 IGCSE Additional Mathematics February/March 0606/12 Q1

2025 IGCSE Additional Mathematics February/March 0606/12 Q1

7 marks
  1. On the axes, sketch the graphs of \(y=4|x-1|\) and \(y=|3x+2|\), stating the intercepts with the axes.[3]
  2. Solve the inequality \(4|x-1|\le |3x+2|\).[4]

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Answer:(a) \(y=4|x-1|\): \((1,0),(0,4)\). \(y=|3x+2|\): \(\left(-\dfrac23,0\right),(0,2)\). Sketch shown. (b) \(\dfrac27\le x\le6\)

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