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4MA1/2HR Jan 2021, Question 3: Set Notation

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 3 marks

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The question, in short

Given the universal set of integers 21 to 30, set A of even values and set B, work out set operations and express C using A and B.

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

Part (ai) · 1 mark

Write down the elements shared by A and B.

  1. 1Identify elements common to both A and B: A = {22, 24, 26, 28, 30}, B = {21, 24, 27, 30}
  2. 2The common elements are 24 and 30
  3. 324, 30

Answer24, 30

Part (aii) · 1 mark

Write down the elements of the universal set that are not in A.

  1. 1A' means elements in E but not in A
  2. 2E = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30}, A = {22, 24, 26, 28, 30}
  3. 3Remove elements of A from E: 21, 23, 25, 27, 29
  4. 421, 23, 25, 27, 29

Answer21, 23, 25, 27, 29

Part (b) · 1 mark

Using set notation with A and B, give an expression that equals C.

  1. 1A ∪ B = {21, 22, 24, 26, 27, 28, 30}
  2. 2C = {23, 25, 29} is exactly the members not in A or B
  3. 3C = (A ∪ B)' or A' ∩ B'

Answer(A ∪ B)' or A' ∩ B'

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