CHAPTER 2: THE LANGUAGE OF MATHEMATICS AND SET OPERATIONS

Sets

Is any well-defined collection of

objects, things, or symbols.

members or element

The individual objects in a set are called the?

1. Well-defined set

2. Not Well-defined set

What are the two classification of Set?

Well-defined set

A type of set where we know exactly if an object is an element of a set or not.

Not well-defined set

A type of set where elements that have to be defined by personal judgement.

Set notations

It refers to how the sets can be named or

identified.

1. Descriptive Method

2. Listing or Roster Method

3. Rule Method

What are the three types of set notations?

Descriptive Method

Is a type of set notation where it described by writing a description of its members/elements.

Listing or Roster Method

A type of set notations where it described by listing all its elements within a pair of braces.

Rule method

A type of set notations where it is a method of representing a set which is done by describing the elements of it.

1. Natural Number

2. Integers

3. Positive Integers

4. Rational numbers

5. Real numbers

6. Whole numbers

Gives its equivalents:

1. N

2. Z

3. Z+

4. Q

5. R

6. W

n

Cardinality of set is denoted by?

1. Finite sets

2. Infinite sets

3. Empty or Null sets

4. Subsets

5. Universal set

6. Equal set

7. Equivalent set

8. Joint set

9. Disjoint set

What are the types of sets?

Finite sets

A type of set that the number of elements in a set can be counted.

Inifinite

A type of set that the number of elements in a set cannot be counted.

Ellipsis

What the “…” called in math?

Continue on

“Ellipsis” means

Empty or null sets

A type of sets that it contains no element.

{} (empty braces) or ∅

Empty sets are denoted by?

Subsets

A type of set where a set of which all the elements are contained in another set.

⊆

Subsets are denoted by?

2^n

Formula for subset

Universal set

A type of set where it is a collection of all elements.

U

Universal set are represented by?

Equal set

A type of set where two sets have the same elements.

=

Equal set is denoted by?

Equivalent set

A type of set where if two sets have the same cardinalities.

≡

Equivalent set is denoted by?

Joint set

A type of set where there have at least one common element.

Disjoint set

A type of set where sets that do not have common element/s

1. Union sets

2. Intersection sets

3. Different of two sets

What are the basic set operations?

1. 0

2. It does not

3. It does not

4. It does

Note:

1. Whole numbers contains?

2. Does natural numbers contains 0?

3. Does counting numbers contains 0?

4. Does even numbers contain 0?

Venn diagram

The easiest way to visualize the set operations is by using a?

1. John Venn

2. 1880

1. Venn diagram was developed by?

2. When?