Math 7 (sets)

• Sets is a well defined group or collection of objects that share the some characteristics
• Ellipis is represented by three dotd which is used to indicate that set has infinite elements
• Elements are objects contained in the set
• Brackets is a symbol used to group the elements of a set
• Union is a summary or the joined elements of the set
• Intersection is the common element between the two sets
• Subset is a set whose elements are all members of another set
• Cardinality of a set is the numbers of elements in a set
• Well-defined set should be related to one another
• The types of sets are : Empty set, Universal set, Subset, Cardian number of sets, Disjoint set, Well-defined set
• Universal Set - contains all possible objects that can belong to any other set
• Empty Set - has no member at all
• Disjoint Sets - have no common elements
• Well-Defined Set - must not contain duplicate elements
• A set A is a proper subset of B if it is a subset but not equal to B
• Finite Set - has only finite numbers of members
• How many of cardinality of sets does

  S = {1,2,3,6,8,7}

  |S| = {6}
• Two types of set operations are Union and Intersection
• Union - the collection of all distinct elements that belong to at least one of two or more given sets.
• Intersection - the collection of all distinct elements that belong to both of two or more given sets.