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4MA1/1F Jun 2021, Question 22: Linear Inequalities

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 5 marks

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The question, in short

From a number line inequality, list integer y values satisfying −4 ≤ 2y < 6, and solve 7t − 3 ≤ 2t + 31 showing working.

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

Part (a) · 1 mark

Write the inequality represented by the given number line.

  1. 1The number line shows a closed circle at 2 and shading to the left, so x is less than or equal to 2.
  2. 2x ≤ 2

Answerx ≤ 2

Part (b) · 2 marks

List every integer value of y that satisfies −4 ≤ 2y < 6.

  1. 1−4 ≤ 2y < 6
  2. 2Divide all parts by 2: −2 ≤ y < 3
  3. 3y is an integer, so possible values are −2, −1, 0, 1, 2

Answer−2, −1, 0, 1, 2

Part (c) · 2 marks

Solve 7t − 3 ≤ 2t + 31, showing your working clearly.

  1. 17t − 3 ≤ 2t + 31
  2. 27t − 2t ≤ 31 + 3
  3. 35t ≤ 34
  4. 4t ≤ 34 ÷ 5
  5. 5t ≤ 6.8

Answert ≤ 6.8

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

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