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4MA1/1HR Jan 2021, Question 3: Linear Inequalities

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 4 marks

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The question, in short

On a number line from −3 to 3, represent −2 ≤ y < 1, and list every integer n satisfying −3.4 < n ≤ 2.

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

Part (a) · 2 marks

Show the inequality −2 ≤ y < 1 on the given number line labelled y.

  1. 1Draw a number line.
  2. 2Place a closed (shaded) circle at −2 to include −2.
  3. 3Place an open (unshaded) circle at 1 to exclude 1.
  4. 4Draw a line between the two circles to represent all values of y from −2 to 1, including −2 but not including 1.

Answernumber line with a shaded circle at −2, unshaded circle at 1, and a line joining them

Part (b) · 2 marks

List all integer values of n that satisfy −3.4 < n ≤ 2.

  1. 1List integers greater than −3.4 and less than or equal to 2.
  2. 2−3 is greater than −3.4, so include −3.
  3. 3−2, −1, 0, 1 are all in range.
  4. 42 is included because n ≤ 2.
  5. 5So the integers are −3, −2, −1, 0, 1, 2.

Answer−3, −2, −1, 0, 1, 2

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

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