Set Theory Flashcards
(63 cards)
1
Q
an unordered collection of distinct elements (items).
A
Set
2
Q
The two main ways to construct a set using symbols.
A
Roster and Set Builder
3
Q
Which type of set construction uses
A
Roster Notation
4
Q
Which type of set construction uses
A
Set Builder Notation
5
Q
“Such That” Symbol
A
(:)
6
Q
A
The set of everything
7
Q
The set of everything
A
8
Q
A
The set of nothing
9
Q
The set of nothing
A
10
Q
A
{1, 2, 3, 4, …}
11
Q
A
{0, 1, 2, 3, 4, …}
12
Q
A
{…, −2, −1, 0, 1, 2, …}
13
Q
A
14
Q
A
The set of any positive, negative, or zero value
15
Q
{1, 2, 3, 4, …}
A
16
Q
{0, 1, 2, 3, 4, …}
A
17
Q
{…, −2, −1, 0, 1, 2, …}
A
18
Q
A
19
Q
The set of any positive, negative, or zero value
A
20
Q
A
The compliment of set A
21
Q
A
22
Q
A
23
Q
A
24
Q
A
25
26
The ___ of two sets (A and B) is the elements that are in A, but not B.
Difference (\)
27
{2}
28
{3.5}
29
Assume A = {1, 2, 3}, B = {2, 4, 6}, C = {3, 4, 5}, and *U* = {1, 2, 3, 4, 5, 6}
{2,3,4,5}
30
Assume A = {1, 2, 3}, B = {2, 4, 6}, C = {3, 4, 5}, and *U* = {1, 2, 3, 4, 5, 6}
{2,3}
31
Assume A = {1, 2, 3}, B = {2, 4, 6}, C = {3, 4, 5}, and *U* = {1, 2, 3, 4, 5, 6}
{}
32
Assume A = {1, 2, 3}, B = {2, 4, 6}, C = {3, 4, 5}, and *U* = {1, 2, 3, 4, 5, 6}
{1,2,4,5,6}
33
Element of / Membership / Containment
34
Subset of
35
Shorthand for
36
Shorthand for
37
38
39
States that two sets are equal
Set Equality (=)
40
Double Negation
41
Commutative
42
Associative
43
Distributive
44
DeMorgan's
45
Absorption
46
Idempotent
47
Identity
48
Inverse
49
Domination
50
The ___ of a set is the number of elements in it.
Cardinality
51
denoted using surrounding bars like those of the absolute value (||).
Cardinality
52
|{1,2,3}| =
3
53
0
54
55
T or F. A set can contain itself.
False
56
T or F. A set can't contain itself.
True
57
The ___ of a set (A) is the set of all subsets of A.
Power Set
58
The cardinality of a Power Set is
2 to the cardinality of the original set.
59
T or F. The power set of a set (A) contains A.
True
60
T or F. The power set of a set (A) doesn't contain A.
False
61
8
62
3
63
Cannot be determined
