Unit 9 - Set Notation

• What is a set?

  A collection of objects or elements
• What notation is used to represent a set?

  Capital letters and curly brackets
• What does the set A = {1, 3, 5, 7, 9} represent?

  All the odd numbers less than 10
• How should elements in a set be treated?

  Do not repeat elements
• How do we denote that an element is not a member of a set?

  Using the symbol ∉
• How is the number of elements in a set denoted?

  n(A)
• What is the notation for an empty set?

  ∅
• What elements are in both sets A and B if A = {1, 3, 5, 7, 9} and B = {3, 6, 9}?

  3 and 9
• What is the intersection of sets A and B written as?

  A ∩ B
• What does A ∪ B represent?

  The union of sets A and B
• What does the shaded area in a Venn diagram represent?

  Elements in the union of sets
• What is the complement of set A written as?

  A'
• What does it mean if set B is a subset of set A?

  Every member of B is also in A
• How is the relationship B ⊆ A expressed?

  B is a subset of A
• What are the key components of set notation?

  • Capital letters for sets
  • Curly brackets for elements
  • No repeated elements
  • Use of symbols for membership (∈, ∉)
• What are the operations involving sets A and B?

  • Intersection (A ∩ B): common elements
  • Union (A ∪ B): all elements from both sets
  • Complement (A'): elements not in A
  • Subset (B ⊆ A): all elements of B in A
• What does the complement of a set represent?

  The items not in a set
• What is the universal set?

  Contains all items in every set
• What does Set A represent?

  A specific set of items
• What does Not Set A represent?

  The complement of Set A
• What does Set B represent?

  A specific set of items
• What does Not Set B represent?

  The complement of Set B
• What does A and B (A ∩ B) represent?

  The intersection of sets A and B
• What does Not A and B represent?

  The complement of A intersection B
• What does A or B (A ∪ B) represent?

  The union of sets A and B
• What does Not A or B represent?

  The complement of A union B
• What does n(A) represent?

  The number of elements in A
• What is the cardinality of a set?

  The number of elements in a set