Q1 - Sets

• Well-defined - is possible to determine whether an object belongs to a given set
• Elements - also called as members, or objects of a set can be anything: numbers, people, letters of the alphabet, other sets, and so on
• Universal Set - largest set
• Finite Set - contains exact or countable numbers of set
• Finite - J = { planets of the solar system}
• Subset - a set of elements that are also in another set
• Intersection of Sets - a set that has common element
• Infinite - positive integers greater than 4
• Three ways in which you can describe a set:

  • verbal description
  • roster form
  • set-builder notation
• Equal Sets – it contains two or more sets that has exactly the same elements.
• Disjoint Sets - two sets do not have a common element
• Union of Sets - is the set containing the combined elements of two or more sets
• Proper Subset

  
• Equal Set - {1, 2, 3, 4} , {4, 3, 2, 1}
• Equivalent Sets – is two sets that has the same number of elements
• Set Notation

  A) Union

  B) Intersection

  C) Emty Set

  D) Not an Element

  E) Element

  F) Not a Subset

  
• Joint Sets - if two sets had at least one common element
• Cardinality - number of elements
• Verbal Discriptive Method - is a method of describing sets in words
• Curly Brackets - used to denote a list of elements
• Set Builder Notation - describes the properties of the elements of the set
• Roster or Listing Method - are conventionally denoted with capital letters and using curly brackets
• Infinite Set – it contains elements that has no end. The ellipsis or the 3 dots means infinite or it goes on forever.
• Consider P ={letters in the word “LEARN”}. What is n(P)?

  5
• Empty - sides of a circle
• Empty - whole numbers between 0 and 1
• Infinite - set of counting numbers
• Equivalent Set - {4, 5, 6} , {1, 2, 3}
• In the given universal set of U = {1,2,3,4,5}, and A = {1,2}, what is the term

  applicable to set A?

  Subset
• What is the roster form of the set K = {x | x are odd numbers from 2 and 8}?

  H = {3,5,7}
• What is the rule method for the given set J = {1,2,3,4}?

  A = {x | x is a whole number less than 5}