Modmath v3 Flashcards
(21 cards)
○ Number of elements in a set
● Cardinality of a Set
Contains a definite number of elements
● Finite Set
○ Has no definite numbers of elements
● Infinite
A and B are equal, denoted by A = B, if they
have exactly the same elements
Equal
A and B are equivalent sets, denoted by A ̃
(tilde) B, if they have the same number of
elements
Equivalent
Have at least 1 common element(s)
Joint Sets
○ Have no common element
■ The set of all positive integers and the set
of all negative integers
Disjoint
Set A is a subset of Set B denoted by A ⊂ B, if
every element of A belongs to B (mas marami
lagi ang B kasi lahat ng element ni A ay nasa B)
Subset
at least 1 element found in B
but not in A
Proper Subset
- empty set and set itself
Improper Subset
Denoted by P(A) is the set containing all the
subsets of A
Powerset
If the set A contains n elements then the
number of elements of the power set is given
by 2ⁿ
Powerset
Totality of elements under consideration
Universal Set
denoted by A U B, is the set of all elements that
belong to A and B
Union
It is the set containing the combination of all the
elements of A and B
Union
● Denoted by A ∩ B
● Set of all elements that belong to both A and B
● Elements common to A and B
Union
● Denoted by A’ (A prime)
● Set of all elements that are in the universal set U
but are not in A
Complement
● Denoted by A - B
Difference
● Set containing all elements in A but not in B
Difference
Diagram that shows the logical relationship
between sets and their elements
VENN DIAGRAM
Typically uses intersecting and non-intersecting
circles to denote the relationship between sets
VENN DIAGRAM
