Mathematical Language & Symbols

Question 1

What is language?

Answer 1

A systematic means of communicating ideas or feelings by the use of conventional symbols, sounds, or marks having understood meaning.

Question 2

∀ represents…

Answer 2

“for every”.

Question 3

∃ represents…

Answer 3

“there exists”.

Question 4

∴ represents…

Answer 4

“therefore”.

Question 5

It is a group of words that expresses a concept.

Answer 5

Phrase.

Question 6

It is a group of words that are put together to mean something.

Answer 6

Sentence.

Question 7

It is a group of numbers or variables with or without mathematical operation.

Answer 7

Expression.

Question 8

It is a group of numbers or variables with or without mathematical operation separated by an equal sign

Answer 8

Equation.

Question 9

It is a group of numbers with or without mathematical operation separated by an equal sign.

Answer 9

Equation.

Question 10

What is precise?

Answer 10

It is when you are able to make very fine distinctions.

Question 11

What is concise?

Answer 11

It is when you are able to say things briefly.

Question 12

What is powerful?

Answer 12

It is when you are able to express complex thoughts with relative ease.

Question 13

What are the 3 characteristics of a mathematical language?

Answer 13

Precise, concise, and powerful.

Question 14

A __ is a collection of objects called as elements.

Answer 14

set

Question 15

The format sets usually follow.

Answer 15

Roster Method.

Question 16

“1 ∈ S” means…

Answer 16

1 is an element of set S.

Question 17

“9 ∉ S” means…

Answer 17

9 is not an element of set S.

Question 18

Turn into Set-builder Notation: S contains all x’s such that x is greater than or equal to 0 AND
x is less than or equal to 1.

Answer 18

S = {x|x ≥ 0 AND x ≤ 1}.

Question 19

Empty sets can be represented by…

Answer 19

∅ or {}.

Question 20

The set of natural numbers can be represented by…

Answer 20

ℕ = {1, 2, 3, 4, 5, …}.

Question 21

The set of integers can be represented by…

Answer 21

ℤ = {…, −2, −1, 0, 1, 2, …}.

Question 22

It is the symbol for a subset.

Answer 22

⊆.

Question 23

∅ ⊆ {1, 2, 3, 4}.

Answer 23

True.

Question 24

∅ ⊆ {1, 2, 3, 4}.

Answer 24

True.

Question 25

{1,2,3,4,5} ⊆ {1,2,3,4,5}.

Answer 25

True.

Question 26

A represents…

Answer 26

any set.

Question 27

A’ represents…

Answer 27

the complement of set A.

Question 28

Set __ contains
elements in the universal set which are not contained in set __.

Answer 28

A’, A

Question 29

The union of sets A and B, denoted by__, is the
set that contains all the elements that belong to A, B, __ both.

Answer 29

U, or

Question 30

Using the roster method how would you express the union of sets.

Answer 30

A U B = {x|x ∈ A or x ∈ B}.

Question 31

The intersection of sets A and B, denoted by __, is the set of elements common to both A __ B.

Answer 31

∩, and

Question 32

Using the roster method how would you express the intersection of sets.

Answer 32

A ∩ B = {x|x ∈ A and x ∈ B}.