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4MA1/1FR Jun 2025, Question 21: Linear Inequalities

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 4 marks

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The question, in short

From a number line marked with an open circle at −2 and a solid circle at 1, state the inequality; then solve 7a − 5 ≤ 3a + 28 showing working.

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

Part (a) · 2 marks

Give the inequality that the drawn number line represents, using the endpoints −2 and 1.

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

Answer−2 < x ≤ 1

Part (b) · 2 marks

Find the values of a satisfying 7a − 5 ≤ 3a + 28, showing each algebraic step.

  1. 17a − 5 ≤ 3a + 28
  2. 27a − 3a ≤ 28 + 5
  3. 34a ≤ 33
  4. 4a ≤ 8.25

Answera ≤ 8.25

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

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