Lemmara logoLemmaraWorked solution

0580/12 May/Jun 2025, Question 19: Ordering and Inequalities

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Non-calculator · 3 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Find a prime P lying strictly between 13 and 19, and state the inequality shown on a number line running from −3 to 8.

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

Part (a) · 1 mark

Give the prime number that is greater than 13 but less than 19.

  1. 1Numbers 14 to 18; only 17 is prime
  2. 2P = 17

Answer17

Part (b) · 2 marks

Using the number line with a solid dot at −2 and a hollow dot at 7, write the matching inequality for x.

  1. 1Filled circle at −2: x ≥ −2
  2. 2Open circle at 7: x < 7
  3. 3−2 ≤ x < 7

Answer−2 ≤ x < 7

Stuck on a step? Read the free lesson: Ordering and Inequalities

Practise more ordering and inequalities questions

Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on ordering and inequalities

Also searched as: 0580/12/M/J/25 · 0580_s25_qp_12 · 0580 s25 12 · question 19.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.