0606/11 May/Jun 2026, Question 1: Modulus Equations and Inequalities
Cambridge IGCSE Additional Mathematics 0606 · Paper 11 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
Solve the equation |5x + 4| = |3x − 2| for x.
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Solution · 3 marks
- 15x + 4 = 3x − 2 gives 2x = −6, x = −3
- 25x + 4 = −(3x − 2) gives 8x = −2, x = −1/4
- 3Or: (5x + 4)² = (3x − 2)² gives 16x² + 52x + 12 = 0, i.e. 4x² + 13x + 3 = 0
- 4(x + 3)(4x + 1) = 0, x = −3 or −1/4
Answerx = −3, x = −1/4
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Also searched as: 0606/11/M/J/26 · 0606_s26_qp_11 · 0606 s26 11 · question 1.
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