WMA11/01 Jun 2023, Question 1: Quadratic Inequalities
Pearson Edexcel International AS Level Mathematics · Pure Mathematics 1 (WMA11) · Calculator · 4 marks
The question, in short
Solve the inequality 4x² − 3x + 7 ≥ 4x + 9 showing all working without calculator methods.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 1Rearrange: 4x² − 7x − 2 ≥ 0
- 2Factorise: (4x + 1)(x − 2) ≥ 0
- 3Critical values x = −1/4 and x = 2
- 4The quadratic is positive outside its roots, so x ≤ −1/4 or x ≥ 2
Answerx ≤ −1/4 or x ≥ 2
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