MATH

• Set


  Can be formed of anything that can be well-defined or distinct
• Set of smart students

  • Cannot be defined or measured
• Representation of a Set

  • Listing Method or Roster Method
  • Rule Method or Set-Builder Notation
  • Description Method
• Description Method


  In this method, we describe the elements and this description of elements is enclosed in braces
• Set of all days in a week


  • {all days of the week}
• Elements in a set do not repeat
• Roster (Listing or Tabular) Method


  In this method, all the members of the members are listed and separated by commas. The list is enclosed by braces.
• Set of colors in a rainbow


  • R= {r, o, y, g, b, i, v}
• Set of counting numbers

  • C= {1, 2, 3, 4, 5, 6, ...}
• Set of all days in a week

  • B= {Sun, Mon, Tue, Wed, Thurs, Fri, Sat}
• Rule or Set-Builder Notation


  In this method, the elements are not listed by they are represented by specifying a property or a general rule which is applicable to all the elements. That is a set builder notation always take the form {x|x has a certain property}.
• Different Types of Sets

  • Empty set
  • Singleton set
  • Finite set
  • Infinite set
  • Equal set
  • Equivalent set
  • Universal set
  • Subset