WMA11/01 Jan 2019, Question 4: Finding Regions from Multiple Inequalities
Pearson Edexcel International AS Level Mathematics · Pure Mathematics 1 (WMA11) · Calculator · 3 marks
The question, in short
Using the line 2y = x, the curve y = 2x − (1/8)x² and the vertical line l₂ through the positive x-axis intercept of C, state the inequalities that describe region R.
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Solution · 3 marks
- 1R is below the solid line l₁: 2y ≤ x
- 2R is above the solid curve C: y ≥ 2x − (1/8)x²
- 3C meets the positive x-axis where 2x − (1/8)x² = 0, so x = 16
- 4R is to the left of the dashed line l₂: x < 16
Answer2y ≤ x, y ≥ 2x − (1/8)x², x < 16
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