Solve |quadratic| compared to linear: sketch then solve equation/inequality

Sketch the graph of y = |quadratic| and a linear function, find exact solutions to the equation, then solve the related inequality, e.g. |(x-2)(x-4)| = 6-2x.

1 questions · Standard +0.3

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Edexcel FP2 Q26
11 marks Standard +0.3
  1. Sketch, on the same axes, the graph of \(y = |(x - 2)(x - 4)|\), and the line with equation \(y = 6 - 2x\). [4]
  2. Find the exact values of \(x\) for which \(|(x - 2)(x - 4)| = 6 - 2x\). [5]
  3. Hence solve the inequality \(|(x - 2)(x - 4)| < 6 - 2x\). [2]