4MA1/2HR Jun 2025, Question 21: Quadratic Inequalities
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 3 marks
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The question, in short
Solve the quadratic inequality 2x² − 7x − 15 > 0, showing clear algebraic working for 3 marks.
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Solution · 3 marks
- 12x² − 7x − 15 = (2x + 3)(x − 5)
- 2Critical values: x = −3/2 and x = 5
- 3The curve is U-shaped, so it is above 0 outside the roots
- 4x < −3/2 or x > 5
Answerx < −3/2, x > 5
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