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4MA1/1H Jun 2019, Question 14: Set Notation

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 3 marks

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The question, in short

Using the universal set of positive integers below 20, with A for values under 12 and B for values from 7 up to but not including 16, find the overlap of A and B and give one 3-element even subset of A.

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Part (a) · 2 marks

Write down every number that belongs to both A and B.

  1. 1A = {1, 2, …, 11} and B = {7, 8, …, 15}
  2. 2A ∩ B is the numbers in both: 7, 8, 9, 10, 11

Answer7, 8, 9, 10, 11

Part (b) · 1 mark

Give one set C contained in A with exactly 3 members, all of them even.

  1. 1C must be inside A = {1, 2, …, 11} and contain 3 even numbers
  2. 2The even numbers in A are 2, 4, 6, 8, 10
  3. 3Choose any three, for example 2, 4, 6

Answer2, 4, 6

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