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4MA1/2H Jun 2020, Question 14: Set Notation

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 6 marks

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The question, in short

Universal set is integers 10 to 25; A is integers below 18; B is integers from 13 to 21. Find set sizes, list set members, and identify a 5-element subset C.

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

Part (a) · 1 mark

State how many integers are in set A.

  1. 1A = {10, 11, 12, 13, 14, 15, 16, 17}
  2. 2n(A) = 8

Answer8

Part (b) · 2 marks

List the integers in the universal set that are not in A or B.

  1. 1ℰ = {10, …, 25}, A = {10, …, 17}, B = {13, …, 21}
  2. 2A ∪ B = {10, 11, …, 21}
  3. 3(A ∪ B)′ = 22, 23, 24, 25

Answer22, 23, 24, 25

Part (c) · 2 marks

List the integers that are in B but not in A.

  1. 1A′ = {18, 19, …, 25}
  2. 2B = {13, 14, …, 21}
  3. 3A′ ∩ B = 18, 19, 20, 21

Answer18, 19, 20, 21

Part (d) · 1 mark

List the five integers that could form set C, a subset of both A and B.

  1. 1C ⊂ A and C ⊂ B so C ⊂ (A ∩ B)
  2. 2A ∩ B = {13, 14, 15, 16, 17}
  3. 3n(C) = 5
  4. 4C = {13, 14, 15, 16, 17}

Answer13, 14, 15, 16, 17

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