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Learning objective

Understand and apply the terminology and symbols related to sets, including the use of Venn diagrams for two sets. Be familiar with the following set notations: • n(A) represents the number of elements in set A • A' denotes the complement of set A • The universal set is indicated by ′ • A ∪ B signifies the union of sets A and B • A ∩ B indicates the intersection of sets A and B. For example, sets can be defined as follows: A = {x: x is a natural number}, B = {a, b, c, …}, C = {x: a < x < b}.

Read the explanation, check the common trap, then practise with flashcards and questions.

Exam focus

  • Read the explanation.
  • Check key terms.
  • Practise with linked questions.
Cambridge IGCSE MathematicsCore Number

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Quick explanation

Understand and apply the terminology and symbols related to sets, including the use of Venn diagrams for two sets. Be familiar with the following set notations: • n(A) represents the number of elements in set A • A' denotes the complement of set A • The universal set is indicated by ′ • A ∪ B signifies the union of sets A and B • A ∩ B indicates the intersection of sets A and B. For example, sets can be defined as follows: A = {x: x is a natural number}, B = {a, b, c, …}, C = {x: a < x < b}

  • This point belongs to Sets, especially Sets outcomes.
  • You need to be able to understand and apply the terminology and symbols related to sets, including the use of Venn diagrams for two sets. Be familiar with the following set notations: • n(A) represents the number of elements in set A • A' denotes the complement of set A • The universal set is indicated by ′ • A ∪ B signifies the union of sets A and B • A ∩ B indicates the intersection of sets A and B. For example, sets can be defined as follows: A = {x: x is a natural number}, B = {a, b, c, …}, C = {x: a < x < b}.
  • The key ideas to know are Describe, Explain, and State.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

DescribeExplainState

Why it matters

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Paper 2 structured question: Sets

Paper 2Core or Extended Mathematics2 marks

Description

Sets A and B

Consider the following sets: A = {1, 2, 3, 4} and B = {3, 4, 5, 6}.

  1. a

    Calculate Find A ∪ B and A ∩ B.

    Aim for approximately 2 distinct marking points.

    [2]
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