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Mathematics in the Modern World > Sets > Flashcards

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

Given the following:

y = 3x + 2

Solve for the value of f(2)

f(2) = 3(2) + 2 = 8