Flashcards in Sets Deck (30)
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1
A collection or grouping of elements which can be anything such as numbers, letters, names, sentences, etc.
Set
2
Used if the set contains few elements that do not have a common property.
Roster or List Method
3
Used if the set has many or an infinite number of elements. Denoted by the symbol "x|x".
Rule or Description Method
4
What method is used in the following:
A = {m, a, t, h}
Roster or List Method
5
What method is used in the following:
A = {x|x is a whole number}
Rule or Description Method
6
Given the following:
A = {m, a, t, h}
|A| = 4
What does the |A| = 4 mean?
Size or Cardinal Number
7
Given the following:
A = {1, 2, 3, 4, 5, 6, 7, 8, 9}
B = {1, 3, 5, 7, 9}
C = {0, 2, 4, 6, 8}
a) Is B a subset of A?
b) Is A a subset of C?
c) Is C a subset of B?
a) Yes
b) No
c) No
8
Given the following:
A = {a, e}
B = {a, b, c, d, e}
Is A a proper subset of B?
Yes
9
This refers to the set of all subsets of a set
Power Set
10
What do you call two sets that have the same elements?
Equal Sets
11
What do you call two sets with the same number of elements?
Equivalent Sets
12
What do you call a set that has no element?
Null or Empty Set
13
What do you call any set that contains all elements under consideration?
Universal Set
(Denoted by U)
14
A set with a determinate number of elements
Finite Set
15
A set with an indeterminate number of elements
Infinite Sets
16
Two or more sets with at least one common element
Joint Set
17
Two or more elements with no common elements
Disjoint Set
18
Combines all elements of two sets
Union
19
Given the following:
A = {1, 2, 3}
B = {1, 3, 5}
What is A union B?
A union B = {1, 2, 3, 5}
20
Contains only the elements common to both sets
Intersection
21
Given the following:
A = {1, 2, 3}
B = {1, 3, 5}
What is A intersection B?
A intersection B = {1, 3}
22
Identifies the elements of the universal set that are not in A
Complement
(Denoted by ')
23
Given the following:
U = {1, 2, 3, 4, 5}
A = {2, 4}
What is A'?
A' = {1, 3, 5}
24
Given the following:
A = {1, 2, 3}
B = {1, 3, 5}
What is A - B?
A - B = {2}
25
The set of all ordered pairs
Cartesian/Cross Product
26
What are the two terms used in Relations when identifying ordered pairs?
Domain (x-component)
Range (y-component)
27
A special kind of relation where every element of the domain is related with one and only one element of the range
Function
28
Given the following:
a) y = x + 2
b) y = x^3 + 5
c) y^5 = x + 1
d) y^6 = x + 1
Which of the following is NOT a function?
D, because the highest y exponent is an even number
29
What notation is used to identify a function?
y = f(x)
30
