What is a Universal Set?
In set theory, it is generally the largest set or all of the things you are interested in examining.
What is a Venn Diagram?
Is a diagram that is used to represent sets. Usually made up of 2 circles and a box
Set notation:
U means?
UNION = ELEMENTS IN BOTH SETS. = AND
Set theory utilizes Venn diagrams because they are pretty
False,
Set theory utilizes Venn diagrams because it is a very clear way to show the information
What is a set?
Why is it a visual representation?
Because it shows the universal set as a rectangle and how the sets are related between each other by showing them as circles.
∩ means?
It means the intersection of 2 sets.
A ∩ B , the intersection of A and B
Set A is the complement of Set B
A = {1, 3, 5, 7, 9}
B = {2, 3, 5, 7},
False
Define empty set
It is a set that contains no elements.
What is the intersection of a Venn diagram?
It is the elements that are in more than one set.
For example if you have set A and Set B, the intersection of A and B will contain the same elements of set A and Set B.
A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7},
what is A ∩ B?
{3, 5, 7}
If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7},
what is A ∪ B?
{1, 2, 3, 5, 7, 9}
Define Complement of a Set.
The complement of a set such as set A is the set of all elements in the universal set that are not in set A. It is denoted as A'
What is the convention used when writing the elements of a set?
Chain brackets, commas, no duplicate elements
E = {0, 2, 4, 6, 8}
L = {0, 1, 2, 3, 4, 5, 6}
Write the intersection of sets E and L
E ∩ L = {0, 2, 4, 6}
From the above Venn diagram, what is the set (S ∩ T)?
{casey, drew, jade, glen}
S ∩ T = {casey, drew}
Define Disjoint Sets
Two sets are said to be disjoint if they have no elements in common
How many circles are in the box of a Venn diagram?
Usually 2 but sometimes can be 1 or 3
The Universal Set = { The letters of the alphabet} and A = {vowels}.
What is the complement of A?
A'
A' = {the consonants}.
If
P = The set of whole numbers less than 5
R = The set of factors of 6
Then what is (P ∩ R)?
Last step (∩ means "intersection", must be in both sets):
(P ∩ R) = {1, 2, 3