Sets

• What is a set?

  A well-defined group of objects
• What are elements in a set?

  Objects that share a common characteristic
• What does the symbol ∈ represent?

  Element of a set
• What does the symbol ∉ represent?

  Not an element of a set
• What does { } or ∅ represent?

  Null or empty set
• What is the Listing Method (Roster Method) for sets?

  • Elements are separated by a comma
  • Enclosed between a pair of braces
  • Example: H = {g, r, a, d, e}
• What is Set Builder Notation?

  • Describes a set by indicating properties
  • Uses variables to define elements
  • Example: H = {x|x is a letter in "grade"}
• What does the symbol ⊆ represent?

  Subset of another set
• What is a Universal Set?

  Contains all objects under consideration
• What is a Null Set?

  Empty set
• What is the significance of the Null Set?

  Always a subset of any set
• What is Cardinality in relation to sets?

  Number of elements contained in a set
• How is Cardinality written?

  As n(name of set)
• What is the Intersection of sets?

  Common elements in both sets
• What is the Union of sets?

  Elements in one or both sets
• What does the Difference operation on sets represent?

  Elements in A that are not in B
• What is the Complement of a set?

  Elements in U that are not in A
• What symbol denotes the Complement of a set?

  Denoted by ‘