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0580/41 Oct/Nov 2025, Question 7: Inequalities

Cambridge IGCSE Mathematics 0580 · Paper 41 (Extended) · Calculator · 4 marks

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The question, in short

Read an inequality from a number line, then list the integers that satisfy a double inequality.

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

Part (a) · 2 marks

A number line shows an open circle at −3 joined to a filled circle at 2. Write the inequality.

  1. 1Open circle at −3: −3 not included (<)
  2. 2Closed circle at 2: 2 included (≤)
  3. 3−3 < x ≤ 2

Answer−3 < x ≤ 2

Part (b) · 2 marks

List the integer values of x for which −4 < 2x ≤ 8.

  1. 1Divide by 2: −2 < x ≤ 4
  2. 2Integers: −1, 0, 1, 2, 3, 4

Answer−1, 0, 1, 2, 3, 4

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

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Also searched as: 0580/41/O/N/25 · 0580_w25_qp_41 · 0580 w25 41 · question 7.
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