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Venn Diagrams and Set Operations (Set operations (Intersection (Given two…
Venn Diagrams and Set Operations
Venn Diagrams
Venn diagrams
are used to represent elements of sets and the relationship between sets.
Sets are represented by circles inside a big rectangle representing the
universe
or the
domain
of discourse.
Set operations
Union
Given two sets A and B, their union is a set whose members are the members of A and B together.
Disjunction:
is closely related to set intersection.
Intersection
Given two sets A and B, their intersection is a set whose members are the members that A and B have in common.
Conjunction:
is closely related to set intersection.
Two sets are called
disjoint
if they have no members in common.
Set difference
Given two sets A and B, the difference between A and B is a set whose members are
members of A but not of B.
Complement
The
complement
of a set A is defined as a set whose elements are not in A
