4MA1/2FR Jan 2021, Question 18: Finding Regions from Multiple Inequalities
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 3 marks
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The question, in short
From a diagram, write down the three inequalities that together define the shaded region R bounded by y = 3x − 2 and two other straight lines.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1The horizontal line passing through y = 1 forms the lower boundary of R, so y must be greater than or equal to 1: y ≥ 1
- 2The vertical line passing through x = 3 forms the right boundary of R, so x must be less than or equal to 3: x ≤ 3
- 3The line y = 3x − 2 forms the upper boundary of R, and since R is below this line, y must be less than or equal to 3x − 2: y ≤ 3x − 2
Answery ≥ 1, x ≤ 3, y ≤ 3x − 2
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