9.19.1Sets, Intersections, and Sets, Intersections, and

UnionsUnionsStandard 1.0Standard 1.08 Key Terms8 Key Terms

CA Standard 1.0CA Standard 1.0

Identify and use the arithmetic Identify and use the arithmetic properties of subsets of integers.properties of subsets of integers.

VocabularyVocabulary

1.1. SetSet

2.2. ElementsElements

3.3. Roster NotationRoster Notation

4.4. Set-builder Set-builder notationnotation

1.1. A collection of A collection of objects or objects or numbersnumbers

2.2. The objects or The objects or numbers that numbers that make up a setmake up a set

3.3. A list of the A list of the elements in a setelements in a set

4.4. A description of A description of how a set is builthow a set is built

#1 Write a roster notation and a set-builder notation.

The set G of whole numbers greater than 5

,...9,8,7,6Whole Numbers:

Roster Notation: ,...8,7,6G

Set-Builder Notation:

5 x and number wholea is xxG

#2 Write a roster notation and a set-builder notation.

The set T of multiples of 5 less than 24

...5,0,5,10,15,20 Multiples of 5:

Roster Notation: ,...5,0,5,10,15,20 T

Set-Builder Notation:

24 x and 5 of multiple a is xxT

Vocabulary

5. Intersection

6. Empty Set

5. The set of all elements that are COMMON TO BOTH SETS.

6. When there are NO elements that are COMMON to both sets.

0

#3 Find each of the following

Let E be the set of even numbers, W be the set of whole numbers, T = {0, 2}, and S = {1,5}.

TS Find

Are there any intersections between {0, 2, 1, 5}?

SetEmpty

0

#4 Find each of the following

Let E be the set of even numbers, W be the set of whole numbers, T = {0, 2}, and S = {1,5}.

WE Find

Are there any intersections between even numbers {2, 4, 6, …} and whole numbers {1, 2, 3,…}?

E

NumbersEven

#5 Find each of the following

Let E be the set of even numbers, W be the set of whole numbers, T = {0, 2}, and S = {1,5}.

ET Find

Are there any intersections between even numbers {2, 4, 6, …} and {0, 2}?

{2}

#6 Find each of the following

Let E be the set of even numbers, W be the set of whole numbers, T = {0, 2}, and S = {1,5}.

SE Find

Are there any intersections between even numbers {2, 4, 6, …} and {1, 5}?

SetEmpty

0

#7 Find each of the following

Let E be the set of even numbers, W be the set of whole numbers, T = {0, 2}, and S = {1,5}.

SW FindAre there any intersections between whole

numbers {1, 2, 3, …} and {1, 5}?

S

{1,5}

Vocabulary

7. Union 7. The set of all elements that are included in EITHER SET.

#8 Find each of the following

Let M = {1, 3, 5}, E = be the set of even whole numbers, and D be the set of odd whole numbers.

DM Find

What are the unions between {1, 3, 5}

and {1, 3, 5, …}?

D

,....}5,3,1{

#9 Find each of the following

Let M = {1, 3, 5}, E = be the set of even whole numbers, and D be the set of odd whole numbers.

DE FindWhat are the unions between {2, 4, 6,…} and {1, 3, 5,…}?

Numbers Whole

,...}3,2,1{

#10 Find each of the following

Let M = {1, 3, 5}, E = be the set of even whole numbers, and D be the set of odd whole numbers.

EM FindWhat are the unions between {1, 3, 5} and {2, 4, 6,…}?

...}10,8,6,5,4,3,2,1{