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These flashcards cover key concepts regarding sets, their properties, and operations as discussed in the lecture notes for MATH 121.
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A set is a __ collection of objects.
well-defined
If a is an object in the set A, we say that a is an __ of A.
element
The notation for an element a in A is __.
a ∈ A
The set that does not have any elements is called the __ set.
empty set or null set
A set containing one element is called a __ set.
singleton set
The union of two sets A and B, denoted by __, is the set of elements that are in either A or B or in both.
A ∪ B
The intersection of two sets A and B, denoted by __, contains those elements that are in both A and B.
A ∩ B
The difference of sets A and B, denoted by __, contains elements that are in A but not in B.
A \ B
The power set of S, denoted by __, is the set of all subsets of S.
P(S)
The __ of two sets A and B, denoted by A △ B, is defined as (A \ B) ∪ (B \ A).
symmetric difference