4MA1/1F Jun 2023, Question 22: Finding Regions from Multiple Inequalities
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 4 marks
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The question, in short
From the diagram, identify the three straight lines bounding the shaded region R and write the inequalities that define it.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1The vertical line at x = 1 bounds the region to the left, so x ≤ 1
- 2The horizontal line at y = −2 bounds the region above, so y ≥ −2
- 3The diagonal line has y-intercept 4 and gradient 2, so equation is y = 2x + 4
- 4The region lies below this line, so y ≤ 2x + 4
Answerx ≤ 1, y ≥ −2, y ≤ 2x + 4
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