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4024/11 May/Jun 2021, Question 20: Linear Inequalities

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks

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The question, in short

On a grid from −6 to 6 with the line 2y = x drawn, draw two straight-line graphs, then shade and label the region R satisfying four inequalities.

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

Part (ai) · 1 mark

Draw the horizontal line y = 2 on the grid.

  1. 1Rule a horizontal line through (0, 2), (6, 2) etc.

Answery = 2 ruled correctly

Part (aii) · 1 mark

Draw the straight line y + x = 4 on the grid.

  1. 1y + x = 4 passes through (0, 4), (4, 0) and (6, −2)
  2. 2Rule the line through these points

Answery + x = 4 ruled correctly

Part (b) · 2 marks

Shade and label region R satisfying x + y ≤ 4, 2y ≥ x, y ≤ 2 and x ≥ 0.

  1. 1x ≥ 0: right of the y-axis; y ≤ 2: below y = 2; 2y ≥ x: above 2y = x; x + y ≤ 4: below y + x = 4
  2. 2Shade the quadrilateral with vertices (0, 0), (0, 2), (2, 2), (8/3, 4/3) and label it R

AnswerCorrect region shaded

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Also searched as: 4024/11/M/J/21 · 4024_s21_qp_11 · 4024 s21 11 · question 20.
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