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4024/12 Oct/Nov 2025, Question 7: Linear Inequalities

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 2 marks

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The question, in short

From a number line diagram, state the inequality shown, then solve a separate linear inequality in x.

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

Part (a) · 1 mark

Give the inequality that matches the number line, which has an open circle at 3 and an arrow extending right.

  1. 1Open circle at 3, so 3 is not included
  2. 2Arrow points right: x > 3

Answerx > 3

Part (b) · 1 mark

Find the values of x that satisfy x − 2 < 7.

  1. 1Add 2 to both sides
  2. 2x < 9

Answerx < 9

Stuck on a step? Read the free lesson: Linear Inequalities

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