Lesson 2: Language Of Sets Flashcards

1
Q

lt is often said that mathematics is the language of?

A

Science

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2
Q

the set of natural numbers?

A

= {1,2,3,4,5,…}

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3
Q

The set of whole number?

A

={0,1,2,3,4,5,…}

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4
Q

The set of integers?

A

={…-2,-1,0,1,2,…}

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5
Q

The set of rational numbers?

A

={m/n, where n ≠ 0 }

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6
Q

The set of irrational numbers?

A

={non-repeating, non-terminating decimals}

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7
Q

includes the numbers used for counting:

A

The set of natural numbers

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8
Q

is the set of natural numbers plus zero:

A

The set of whole numbers

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9
Q

adds the negative natural numbers the set of whole numbers:

A

The set of integers

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10
Q

includes fractions written as (m/n|m and n are integers and n ≠ 0)

A

The set of rational numbers

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11
Q

is the set of numbers that are not rational, are non repeating, and are non-terminating:
(h|h is not a rational number).

A

The set of irrational numbers

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12
Q

a collection of objects

A

Set

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13
Q

the objects in a set are called the

A

elements of a set

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14
Q

“x” is called a?

A

Variable

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15
Q

symbol used to represent any element of a given set.

A

Variable(x)

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16
Q

Another way of writing the above set S is to use what is called

A

set-builder notation

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17
Q

vertical bar (|) is used in place of words?

A

Such that

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18
Q

is used in place of words such that

A

vertical bar (I)

19
Q

are used to indicate that the list goes on and on with no last number.

20
Q

The symbol “ ∈ “ is used to indicate that a specific element belongs to a set.

21
Q

A. Types of Describing Sets:

A
  1. Rule method
  2. Roster method
22
Q

describe the elements of the set.

A

Rule method

23
Q

List the element of set

A

Roster method

24
Q

Types of set:

A
  1. Finite set
  2. Infinite set
  3. Unit set
  4. Null set
25
The number of set in countable
Finite set
26
The number of set is not countable
Infinite set
27
a set composed of only one element.
Unit set
28
a set composed of no element.
Null set
29
refers to the number of elements of a given set.
cardinality
30
A is a subset of B "A c B" if every element of A is an element of B.
Subset
31
A and B have the same number of elements.
Equivalent Sets
32
A and B are equal sets, A = B, if A and B have the same number of elements.
Equal Sets
33
sets if A and B have no common elements.
Disjoint Sets
34
Created venn diagram
John venn
35
make mathematics easier because they help us to see the whole situation at a glance.
Diagrams
36
This larger set is called the
universal set.
37
Symbol of universal set?
U
38
is a rectangular figure representing the universal set
venn diagram
39
Operation sets:
1. Complement 2. Union 3. Intersection 4. Set difference 5. Cartesian product
40
the set that contains the elements in U but not in A.
Complement
41
is the set composed of the elements in A or in B or both.
Union
42
is the set composed of elements both in A and B.
Intersection
43
A - B is the set composed of the elements of A not found in B
Set difference
44
is the set of all ordered pairs (a, b), where a is in A and b is in B.
Cartesian product