# data[].attributes.body
a collection of things, like numbers or letters

# data[].attributes.headline
What are the objects within a set called?

# data[].attributes.subject
What are the objects within a set called?

# data[].attributes.body
elements

# data[].attributes.headline
Denote that Julie is an element of the set Si Leader and not an element of the set Student.

# data[].attributes.subject
Denote that Julie is an element of the set Si Leader and not an element of the set Student.

# data[].attributes.body
don't forget the and

# data[].attributes.body
a bookshelf with the elements being the books

# data[].attributes.headline
TF: {J,u,l,i,e} is equivalent to {l,j,u,i,l,e} ?

# data[].attributes.subject
TF: {J,u,l,i,e} is equivalent to {l,j,u,i,l,e} ?

# data[].attributes.body
T: repetition does not matter in sets

# data[].attributes.headline
TF: {J,u,l,i,e} is equivalent to {l,j,u,l,e} ?

# data[].attributes.subject
TF: {J,u,l,i,e} is equivalent to {l,j,u,l,e} ?

# data[].attributes.body
F: the second set does not contain an "i"

# data[].attributes.headline
Explain the difference between open and closed interval

# data[].attributes.subject
Explain the difference between open and closed interval

# data[].attributes.body
The universe in which sets can have elements from

# data[].attributes.body
an infinite amount of sets

# data[].attributes.body
none

# data[].attributes.headline
How many sets are in a set containing two empty sets?

# data[].attributes.subject
How many sets are in a set containing two empty sets?

# data[].attributes.body
it contains two sets even though they're empty

# data[].attributes.headline
How many elements are in a set containing two empty sets?

# data[].attributes.subject
How many elements are in a set containing two empty sets?

# data[].attributes.body
two elements

# data[].attributes.body
order nor repetition matter in sets

# data[].attributes.body
subsets contain elements from the original set. A = {1, 2, 3, 4, 5}
b = {2, 3}
c = {4, 5}

# data[].attributes.headline
Denote that P is a subset of Q and not a subset of R.

# data[].attributes.subject
Denote that P is a subset of Q and not a subset of R.

# data[].attributes.body
the subsets can't be equal

# data[].attributes.headline
Draw the venn diagram for a proper subset.

# data[].attributes.subject
Draw the venn diagram for a proper subset.

# data[].attributes.body
two pencil pouches, A contains two pencils and a marker. B contains two led pencils.

# data[].attributes.body
asks for the amount of elements in the set

# data[].attributes.body
although it is an empty set, we only count the elements in that set. Since it is an empty set, there are no elements. So, the cardinality is 0.

# data[].attributes.body
3

# data[].attributes.body
4

# data[].attributes.body
it makes all possible combinations of the elements of a set. The cardinality of a power set would be 2 to the power of how many elements are in the set, or 2^n.
OR: contains all possible subsets of a set

# data[].attributes.body
A: {a, b}
P(A) = {{}, {a}, {b}, {a, b}}

# data[].attributes.body
2^n