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0580/31 May/Jun 2026, Question 18: Linear Inequalities

Cambridge IGCSE Mathematics 0580 · Paper 31 (Core) · Calculator · 3 marks

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The question, in short

Find the least integer greater than −8, and show the double inequality −4 ≤ x < 3 on a number line running from −6 to 6.

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

Part (a) · 1 mark

State the smallest whole number that is greater than −8.

  1. 1x must be greater than −8, so −8 is not allowed
  2. 2Smallest integer is −7

Answer−7

Part (b) · 2 marks

Draw −4 ≤ x < 3 on the given number line from −6 to 6, using correct circle types at each end.

  1. 1−4 is included (≤): filled circle at −4
  2. 23 is not included (<): open circle at 3
  3. 3Join them with a continuous line

AnswerLine from −4 to 3 with a closed (filled) circle at −4 and an open circle at 3

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Also searched as: 0580/31/M/J/26 · 0580_s26_qp_31 · 0580 s26 31 · question 18.
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