0606/11 May/Jun 2025, Question 2: Quadratic Inequalities
Cambridge IGCSE Additional Mathematics 0606 · Paper 11 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
Solve the inequality (3 − x)(5x + 8) ≥ 9 − 3x, giving the full set of values of x that satisfy it.
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Solution · 4 marks
- 115x + 24 − 5x² − 8x ≥ 9 − 3x
- 25x² − 10x − 15 ≤ 0, i.e. x² − 2x − 3 ≤ 0
- 3(x − 3)(x + 1) ≤ 0
- 4Critical values −1 and 3
- 5−1 ≤ x ≤ 3
Answer−1 ≤ x ≤ 3
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Also searched as: 0606/11/M/J/25 · 0606_s25_qp_11 · 0606 s25 11 · question 2.
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