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.

A

Dots

20
Q

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

A

Element

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
Q

The number of set in countable

A

Finite set

26
Q

The number of set is not countable

A

Infinite set

27
Q

a set composed of only one element.

A

Unit set

28
Q

a set composed of no element.

A

Null set

29
Q

refers to the number of elements of a given set.

A

cardinality

30
Q

A is a subset of B “A c B” if every element of A is an element of B.

A

Subset

31
Q

A and B have the same number of elements.

A

Equivalent Sets

32
Q

A and B are equal sets, A = B, if A and B have the same number of elements.

A

Equal Sets

33
Q

sets if A and B have no common elements.

A

Disjoint Sets

34
Q

Created venn diagram

A

John venn

35
Q

make mathematics easier because they help us to see the whole situation at a glance.

A

Diagrams

36
Q

This larger set is called the

A

universal set.

37
Q

Symbol of universal set?

A

U

38
Q

is a rectangular figure representing the universal set

A

venn diagram

39
Q

Operation sets:

A
  1. Complement
  2. Union
  3. Intersection
  4. Set difference
  5. Cartesian product
40
Q

the set that contains the elements in U but not in A.

A

Complement

41
Q

is the set composed of the elements in A or in B or both.

A

Union

42
Q

is the set composed of elements both in A and B.

A

Intersection

43
Q

A - B is the set composed of the elements of A not found in B

A

Set difference

44
Q

is the set of all ordered pairs (a, b), where a is in A and b is in B.

A

Cartesian product