P2.2

• Set


  An organized collection of objects
• 3 ways to describe a Set

  • Roster Method/ Listing Method
  • Statement Form
  • Set Builder/ Rule Method
• Roster method


  A way to show the elements of a set by listing the elements inside of brackets
• Set builder notation


  A way to write sets using symbols. A set is written as {x | x is a member of the set}
• Kinds of Sets


  • Finite Set
  • Null Set
  • Infinite Set
  • Universal Set
• Cardinality of Set


  The total numbers of elements a set contains. Denoted by n(A)
• Basic Operations on Sets


  • Union
  • Intersection
  • Difference
  • Complement
• Subset


  A set taken from a given set
• Proper Subset


  Set A is considered to be a proper Subset of set B if contains at least one element that is in not present in set A
• Improper Subset


  A subset that contains all the elements of the original set
• Finite Set


  countable number of members
• Universal Set


  set that contains all objects under consideration. it is usually denoted symbol $U$
• Infinite Set


  number of elements that cannot be counted
• Null Set


  set with no element