Set Notation
Unions of Sets
Vector Math
What are the common elements?
Intersections of Sets
100
Set Notation

What does the " ∪ " in A ∪ B represent?
Union
100
Unions of Sets

Write A ∪ B in set notation.
A = {1, 2, 3, 4, 5}
B = {1, 3}
A ∪ B = {1, 2, 3, 4, 5}
100

= 3i +j

= -5i-6j

+ w

-2i-5j

100
What are the common elements?

X = {2,3}
Y = {1, 2, 3, 4, 5}
2,3
100
Intersections of Sets

Write A ∩ B in set notation.
A = {1, 2, 3, 4, 5}
B = {1, 3}
A ∩ B = {1, 3}
200
Set Notation

What does the " ∩ " in A ∩ B represent?
Intersection
200
Unions of Sets

Draw and shade a Venn Diagram of A ∪ B
A = {1, 4}
B = {2, 4}
A (/// 1 ///(// 4 //)/// 2 ///) B
200

Find the Dot Product

= 6i +3j

= i - 2j


V*W

0

200
What are the common elements?

X = {Burgers, Fries, Coke} Y = {Chicken Nuggets, Fries, Coke, Applesauce}
{Fries, Coke}
200
Intersections of Sets

Draw and shade a Venn Diagram of A ∩ B
A = {1, 4}
B = {1, 3}
A ( 4 (//1//) 3 ) B
300
Set Notation

What symbol do you use for the "Empty Set" ?
{ } or ∅
300
Unions of Sets

Write A ∪ B in set notation.
A = {2, 3, 4, 7, 8}
B = {1, 5, 6, 9}
A ∪ B = {1, 2, 3, 4, 5, 6, 7, 8, 9}
300

Find the Magnitude of V

= 3i + 7j

581/2

300

What are the common elements?


X = The set of Real Numbers.

Y = The set of Integers

The set of Integers


300
Intersections of Sets

Write A ∩ B in set notation.
A = {1, 2, 3, 4, 5}
B = {6, 8, 10}
A ∩ B = { }
400
Set Notation

What is the name for the set that contains every element.
The Universal Set
400
Unions of Sets

Draw and shade a Venn Diagram of A ∪ B
A = {1, 2, 3, 4, 5}
B = {1, 3, 6, 9}

AND write the answer in set notation.
A (/// 2, 4, 5 ///(// 1, 3 //)/// 6, 9 ///) B

A ∪ B = {1, 2, 3, 4, 5, 6, 9}
400

Find the Unit Vector of V

= 3i +4j

3/5i +4/5j

400
What are the common elements?

X = {-2,-1,0,1,2,}
Y = The set of Integers
{-2,-1,0,1,2,}
400
Intersections of Sets

Draw and shade a Venn Diagram of A ∩ B
A = {1, 2, 3, 4, 5}
B = {1, 3, 6, 9}

AND write the answer in set notation.
A ( 2, 4, 5 (// 1, 3 //) 6, 9 ) B

A ∩ B = {1, 3}
500
Set Notation

Draw and shade Venn Diagram representing the relationship
∪ - ∩
(//////////( ) ///////////)
500
Unions of Sets

Draw and shade a Venn Diagram representing the relationship X ∪ ∅
X = {1,2,3}
X (//////////)
500

Find the Cross Product

= 3i - j + k

= 5i + 4j - 2k

X W

We shall see...

500

What are the common elements?


The set of classes Mr. Spaulding teaches.

The set of classes Mr. Yates teaches.

Empty set or Null Set or { } 

500
Intersections of Sets

Write two sets X and Y that satisfy, X ∩ Y = ∅
ex. X = {1,3,5}, Y = {2,4,6}