How many leaves are in the shaded subset? How many are in the non-shaded subset?
6
2
The elements in the set {a, g, d, t} are:
a, g, d, t
In a Venn diagram, what shape represents the universal set?
A rectangle
In a Venn diagram, subsets of the universal set are represented by what shape?
a circle
Answer the question below given the following information. Set R has a total of
10, set S has a total of 7, and set T shows that S and R have 4 objects in
common.
How many students in set R are not in S?
6
Answer the question below given the following information. Set R has a total of
10, set S has a total of 7, and set T shows that S and R have 4 objects in
common.
How many total students are in R and S? (Think carefully about this!)
13
Answer the question below given the following information. Set R has a total of
10, set S has a total of 7, and set T shows that S and R have 4 objects in
common.
Why are there not 17 total students in R + S?
Because you don't want to add the same students twice.
A member of a set is called an _____________ of the set
element
How would you write an abbreviated set containing the counting numbers from one to fifty, inclusive? (Choose one option below)
{1, 2, 3, 5, ...}
{1, 3, 5, 9, ... 50}
{1, 2, 3, 4, 5, ... 50}
{1, 7, 11, 13, 33, ... 50}
{1, 2, 3, 4, 5, ... 50}
{1, 2, 3, 4, ..., 100}.
In the example above, the three dots are called ____________ , and they represent the ________ ______ _________.
ellipsis
numbers not listed
There are two common ways of expressing sets. One method is called the ______
method, and the other the ________ method.
rule
roster
The ________ method uses a sentence or phrase that describes the elements of the set.
rule
The ________ method actually lists the elements, or enough to show the set by using ellipsis.
roster
Writing the set {1, 2, 3, 4} as a rule, we would see
{whole numbers between zero and five}.
Writing the set {1, 2, 3, 4} as a rule, we would see, {whole numbers between zero and five}. Note 0 and 5 were not included in the set. If you wanted to include the numbers 0 and 5 in the set, how would you have written the rule?
{whole numbers between zero and five, inclusive}
The symbol below means ____ ____ ___________ ____.
is an element of
The symbol below means _____ ______ ______ _____________ ____
is not an element of
True or false: A set containing only the number {0} is a null set
False
The symbol below is for a set with no ___________ at all, and is called the ______ _____
elements
null set
Classify the following set as finite, infinite, or empty.
{1, 2, 3, 4, 5, 6, 7}
finite
Classify the following set as finite or infinite.
{9, 10, 11, 12,...,100}
finite
Classify the following set as finite or infinite.
{all the fractions between 0 and 1}
infinite
Classify the following set as finite or infinite.
{the empty set}
finite
Classify the following set as finite or infinite.
{the whole numbers}
infinite
The symbol below means _______ ___ _______ __
is a subset of
A set whose members belong to a given set is called a ______________
subset
a subset that has fewer elements than the given set is called a __________ subset
proper
A subset that has the same elements as the given set is called an ____________ subset
improper
What kind of subset is represented in the following question?
Given: C = {red, white, blue}, D = {the colors of the United States flag}.What kind of subset is D?
improper
The _______ ________ is a subset of any set
null set
In the set F = {ten, eleven}, what kind of subset is E, if E = ?
proper
If H = {3, 2, 1}, what kind of subset is G, if G = {1, 2, 3}?
improper
Which of the following are subsets of the following set. C = {Matthew}
Empty set
{Mark}
{Matthew}
empty set
{Matthew}
The statement A B means:
A is a subset of B
The symbol below means ____ ____ ___ _________ ____
is not a subset of
Find the answer set for 10-5 and 3-2 (be sure to remember proper punctuation and symbols)
{5, 1}
(Brackets enclose the set, and there is a comma and space between elements)
Which of the following is true for the statement: x > 6 (whole numbers)
{7, 8, 9, 10, . . .}
Which of the following is true for the statement: 3x > 9 (whole numbers)
{4, 5, 6, 7, . . .}
Which of the following is true for the statement: x < 8 (whole numbers)
{0, 1, 2, 3, 4, 5, 6, 7}
Which of the following is true for the statement: 4x < 16 (whole numbers)
{0, 1, 2, 3}
This is Line AB, which is an ________________ set. There are an _____________ number of points between A and B, though they are not all listed. (Both blanks have the same word.)
infinite (We know it is infinite because of the arrows)
Line AB can be symbolized with what symbol?
is the set of points between ___ and ____, ____________
C
D
inclusive
can be represented by what symbol?
Two or more sets with no elements in common are known as ____________ sets
disjoint
Sometimes two (or more) sets have common elements. When this happens, the sets are said to _______________
intersect
Find the intersection of the sets A = {5, 6, 7, 8, 9} and B = {7, 8, 9, 10, 11, 12}.
{7, 8, 9}
The symbol below means ________________
intersect or intersection
If this statement is true:
C D = , then C and D are ___________ sets
disjoint
When the intersection of two or more sets contains a common element (or elements), the intersection is a ____________ .
subset
The symbol below means ________
union (of sets)
Sometimes two (or more) sets are combined. When this happens, the action performed is called a:
union of sets
Find the union of sets A = {1, 2} and B = {2, 3}.
{1, 2, 3} (Note that each element is written only once, even if it appeared in both sets.)
Which choice is the correct match for "improper subset?"
{1, 2} {1, 2}
Which choice is the correct match for "set?"
A collection of items
Which of the following is the correct match for "proper subset?"
{x, y} {x, y, z}
Which of the following is the correct match for "infinite set?"
{1, 2, 3,...}
Which of the following is the correct match for "finite set?"
How many leaves are there in the whole set?