Sets

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