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SetsDefinition, properties, fundamental set of numbers, operations on sets, Venn diagram
Set
Fundamental sets of numbers
Set Builder
Set Builder
Set notations A, B, C – capital letters for names Distinct elements, no repetition of
elements Enclosed in braces Elements are separated by comma - symbol for element of - not element of
Set Builder
Rule MethodSets are built by describing the essential characteristics of elements that make up the set.
Rule vs Roster Method
Rule vs RosterExamples
Empty Set
Cardinality of a Set
One-to-one-correspondence
Equivalent sets Two sets A and B are equivalent if there
is a one-to-one correspondence between the sets
The have the same number of elements: n(A) = n(B)
Equal Sets Two sets A and B are equal if they have
identical (the same elements) Equal sets are also equivalent sets
Finite vs Infinite sets
Joint vs Disjoint sets Two set A and B are joint sets if they
have elements in common Two sets A and B are disjoint sets if they
have no common elementsA = { 2, 4, 6, 8}B = {1, 2, 3, 5, 8}C = { 7, 9, 10}
Set Operations Set intersection, set union, set
difference, set complement
Set Intersection
Set Union
Set Operations (combination)
Set operation (combination)
Disjoint vs Joint sets
Set Difference
Set Compliment
Set operation
Set operation