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Questions and Answers
What does the symbol ∪ represent?
What does the symbol ∪ represent?
- Union (correct)
- Empty set
- Intersection
- Subset
What does the symbol Ø represent?
What does the symbol Ø represent?
empty set
What does the symbol ∈ mean?
What does the symbol ∈ mean?
belongs to/ is an element of
What does the symbol ∀ represent?
What does the symbol ∀ represent?
What does the symbol ∃ mean?
What does the symbol ∃ mean?
What does the symbol ∩ represent?
What does the symbol ∩ represent?
What does the symbol ⊆ mean?
What does the symbol ⊆ mean?
What does the symbol ∉ represent?
What does the symbol ∉ represent?
What does the symbol â„• represent?
What does the symbol â„• represent?
What does the symbol { } represent?
What does the symbol { } represent?
What does the symbol ℤ stand for?
What does the symbol ℤ stand for?
What does the symbol | represent?
What does the symbol | represent?
What does the notation |X| mean?
What does the notation |X| mean?
What does the symbol ' represent?
What does the symbol ' represent?
What does the symbol U represent?
What does the symbol U represent?
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Study Notes
Set Theory Symbols
- ∪: Represents the union of two sets, combining all elements from both sets.
- Ø: Represents the empty set, a set with no elements.
- ∈: Indicates membership, meaning an element belongs to a set.
- ∉: Indicates non-membership, meaning an element does not belong to a set.
- ∩: Represents the intersection of two sets, containing only the elements common to both sets.
- ⊆: Means a subset; a set A is a subset of B if all elements of A are also in B.
- ': Denotes the complement of a set, which includes all elements not in that set.
- U: Stands for the universal set, which contains all possible elements within a particular context.
Quantifiers in Logic
- ∀: Universal quantifier, meaning "for every" element in a specified domain.
- ∃: Existential quantifier, meaning "there exists" at least one element that satisfies a given property.
Number Sets
- â„•: Represents the set of natural numbers (positive integers including zero).
- ℤ: Represents the set of integers, including positive, negative whole numbers, and zero.
Set Notation
- { }: Represents a set; elements are listed inside curly braces.
- |: Used in set builder notation, translates to "such that" when defining a set.
- |X|: Represents the cardinality of set X, which is the number of elements in the set.
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