2024 IGCSE Additional Mathematics May/June 0606/23 Q3

2024 IGCSE Additional Mathematics May/June 0606/23 Q3

6 marks
  1. Draw the graphs of \(y=|2x-5|\) and \(y=|4-x|\) for \(-2\leq x\leq6\).[4]
  2. Use your graphs to solve the inequality \(|4-x|\leq|2x-5|\).[2]

Solution:

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Answer:(a) Graphs shown. (b) \(x\leq1\) or \(x\geq3\) (restricted to \([-2,6]\) on the plotted interval).

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