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0580/13 May/Jun 2025, Question 15: Linear Inequalities

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Non-calculator · 3 marks

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The question, in short

From a number line diagram, state the inequality shown; then identify the least whole number meeting a given strict inequality involving −3 1/4.

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

Part (a) · 2 marks

Give the inequality matching the number line, which has a solid dot at −4 and a hollow dot at 3 joined by a segment.

  1. 1Filled circle at −4 means −4 is included: −4 ≤ x
  2. 2Open circle at 3 means 3 is not included: x < 3
  3. 3−4 ≤ x < 3

Answer−4 ≤ x < 3

Part (b) · 1 mark

State the lowest integer value of d that makes d > −3 1/4 true.

  1. 1−3 1/4 = −3.25; the next integer above −3.25 is −3
  2. 2Smallest integer d = −3

Answer−3

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