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4024/11 Oct/Nov 2022, Question 16: Linear Inequalities

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

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The question, in short

From a graph with line L and a shaded triangular region, find the gradient of L and state the three inequalities defining the shaded region.

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

Part (a) · 1 mark

Find the gradient of line L shown on the graph.

  1. 1L passes through (0, 1) and (2, 5)
  2. 2Gradient = (5 − 1)/(2 − 0) = 2

Answer2

Part (b) · 3 marks

Write down the three inequalities that together define the shaded triangular region.

  1. 1Right of the vertical line x = 1: x ≥ 1
  2. 2Below the horizontal line y = 5: y ≤ 5
  3. 3Above L (y = 2x + 1): y ≥ 2x + 1

Answerx ≥ 1, y ≤ 5, y ≥ 2x + 1

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Also searched as: 4024/11/O/N/22 · 4024_w22_qp_11 · 4024 w22 11 · question 16.
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