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4MA1/2HR Jun 2024, Question 20: Quadratic Inequalities

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 4 marks

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The question, in short

Solve the quadratic inequality 6x² − 7x − 20 > 0, showing clear algebraic working.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Solution · 4 marks

  1. 16x² − 7x − 20 > 0
  2. 2(3x + 4)(2x − 5) > 0
  3. 3critical values at x = −4/3 and x = 5/2
  4. 4parabola opens upwards so solution is x < −4/3 or x > 5/2

Answerx < −4/3 or x > 5/2

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