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Total questions: 126
Worksheet time: 3hrs 3mins
What does this symbol ( ∪ ) represent?
Subset
Intersection
Union
Null
What does this symbol ( ∩ ) represent?
Intersection
Union
Subset
Null
If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?
{2, 3, 5, 7}
{3, 5, 7}
{2, 3, 5, 7, 9}
{1, 2, 3, 5, 7, 9}
Find n(A) when
A = {14, 16, 18, 20, 22, 24}
6
14
24
2
What is the complement of A?
What is the correct symbol for subset?
Ø
∈
∪
⊂
List the elements of the vowels in the word "circumference".
{e, e, e, i, u}
{c, m, f, r, n}
{ }
{i, u, e}
Given: J = { p, a, n, d, e, m, i, c}
K = { c, a, m, e }
L = { }
Find: J ∪ K
J ∪ K = { p, a, n, d, e, m, i, c }
J ∪ K = { c, a, m, e}
J ∪ K = { p, n, d, i }
J ∪ K = { }
A={1, 2, 3, 4, 5}
B={3, 4, 5, 6, 7}
A∪B=
The union of set A and set B is the set containing all of the elements of set A and set B. The union combines the elements of both sets into one set. Common elements do not need to be repeated and can be listed once.
{3, 4, 5}
{1, 2}
{1, 2, 3, 4, 5, 6, 7}
{6, 7}
A={1, 2, 3, 4, 5}
B={3, 4, 5, 6, 7}
A∩B=
The intersection of set A and set B is the set containing the elements which sets A and B have in common. In other words, those elements that are in both sets A and B are in their intersection.
{1, 2}
{3, 4, 5}
{1, 2, 3, 4, 5, 6, 7}
{6, 7}
X={red, blue, green}
Y={orange}
X∪Y=
{ }
the empty set
{orange}
{red, blue, green}
{red, blue, green, orange}
X={red, blue, green}
Y={orange}
X∩Y=
{ }
the empty set
{orange}
{red, blue, green}
{red, blue, green, orange}
C={20, 30, 40}
D={20, 40}
C∩D=
{ }
the empty set
{30}
{20, 30, 40}
{20, 40}
Who are all of the students who prefer bananas?
Diana
Ben
Tiara
Nico
Susan
Who are all of the elements in the set (Mangoes)?
Tiara
Ben
Paul
Francesca
Susan
What situation does this picture represent?
A U B
A ∩ B
(A U B)'
A'
B'
The Venn Diagram displays the number of students in Music, Science, and Neither. What is
(Music U Science)?
12
78
115
90
25
What does this picture display?
A U B
A ∩ B
A'
B'
(A U B)'
What is (Music ∩ Science)?
115
12
78
25
What does the shaded region display?
A U B
A ∩ B
A'
B'
What is (Science)'?
37
25
78
12
103
What is (Science)'?
37
25
78
12
103
Students at Red Bank High School took a survey about their interests. The Venn diagram to the left shows the results of students who like ice skating, skiing, and snowboarding. How many total students took the survey?
According to the Venn diagram, how many students do not snowboard?
Identify the shaded area...
A
B
not A
not B
How many people own cats?
3
4
6
7
10
The Venn diagram shows the number of senior boys who play football or wrestle.
How may senior boys do not play football or wrestle?
(a)
The Venn diagram shows the number of senior boys who play football or wrestle.
How may senior boys play football?
(a)
The Venn diagram shows the number of senior boys who play football or wrestle.
How may senior boys do not play football?
(a)
The Venn diagram shows the number of people at the gym signed up for yoga or aerobics class.
How many people are signed up for aerobics?
(a)
The Venn diagram shows the number of people at the gym signed up for yoga or aerobics class.
How many people are signed up for yoga but not aerobics?
(a)
The Venn diagram shows the number of sophomores with Facebook, Twitter, and Instagram accounts.
How many students an Instagram or Facebook?
(a)
If C={1, 3, 5, 6, 7} and D={0, 3, 5, 9}, then C ⋃ D is...
{3, 5}
{0, 1, 3, 5, 6, 7, 9}
{0, 1, 3, 3, 5, 5, 6, 7, 9}
{0, 1, 6, 7, 9}
If U = {1, 3, 5, 7, 9, 11, 13}, then which of the following are subsets of U.
A = {2, 4}
B = {13, 7, 9, 11, 5, 3, 1}
C = {2, 3, 4, 5}
D = {0}
Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}. Fill in the blanks by ⊂ or ⊄ to make the resulting statements true.
C __ A
⊂
⊄
True or False: Let P = {3, 5, 7, 9, 11} Q = {9, 11, 13} R = {3, 5, 9} S = {13, 11} then R ⊂ P
True
False
What is the complement of A?
P = {0, 1, 2, 3, 4}, Q = {4, 6, 8}
R = {6, 12, 18} Then what is (P ∩ Q) ∪ (Q ∩ R)?
A = {1, 3, 5, 15},
B = {2, 3, 5, 7}
C = {2, 4, 6, 8}
then what is (A U B) ∩ C ?
U (the universal set) = {1, 3, 5, 7, 9, 11, 13, 15, 17} and W = {5, 7, 9, 11}, then W' = . . ..
A = {huruf dalam perkataan 'MERDEKA'}
A={letters in the word 'MERDEKA'}
A = {M, E, R, D , E , K , A}
A = {M, R, D, E, K, A}
P⊂Q
Q⊂P
The elements of A∩B are ...
{1,4}
{2,3}
{5,7,11}
{1,2,3,4,5,7,11}
The elements of A∪B are ...
{1,4}
{2,3}
{5,7,11}
{1,2,3,4,5,7,11}
The elements of A−B are ...
{1,4}
{1,4,6,8,9,10}
{5,7,11}
{5,6,7,8,9,10,11}
The elements of B−A are ...
{1,4}
{1,4,6,8,9,10}
{5,7,11}
{5,6,7,8,9,10,11}
The elements of A′ are...
{1,4}
{1,4,6,8,9,10}
{5,7,11}
{5,6,7,8,9,10,11}
P−Q
{4,5,7,8}
{4,8}
{1,3}
{2,6}
Q′
{2,4,5,7,8}
{2,4,8}
{1,3}
{2,6}
P′
{2,4,5,7,8}
{2,4,8}
{1,3,7,5}
{2,6}
(A∪B)′
{1,2,3,4,5,7,8}
{1,3,4,8}
{1,3,4,5,7,8}
{5,7}
Which of the following is the symbol for null set?
∅
⊂
∈
⊂
Which of the following is the symbol for element of?
∅
⊂
∈
⊂
How do you write "the complement of A"?
n(A)
(A)
∀
A'
What does this symbol ( ∪ ) represent in set theory?
Union
Intersection
Disjointed
Subset
What is intersection of A and B?
A ∪ B
∈
∉
A ∩ B
What is Union of A and B?
A ∩ B
A′
A ∪ B
A ⊂ B
B = {2, 3, 5, 7}
What is A ∩ B ?
A = {14, 16, 18, 20, 22, 24}
Which symbol completes the statement correctly? {6}____{1,3,6}
ϵ
⊂
=
⊂
Which of these sets is equal to {L,O,V,E}?
{O,V,E}
{S,E,V,O,L}
{O,E,L,V}
{L,E,V}
The venn diagram shows _________ of sets.
Intersection
Union
Null
Difference
List the elements of A
{2,3}
{2,3,5,9}
{1,2,3,4,5}
{5,9}
Example/s of a "well-defined set".
It is a set containing all the elements and other sets including itself.
Well-defined Set
Finite Set
Universal Set
Null Set
Which of the following is an example of a finite set?
A set of positive numbers
A set of whole numbers
A set of whole numbers less than 100
A set of negative numbers less than 100
Which is an example of an infinite set?
D = {a, b, c, d, ...}
F = {x|x is a fraction from 1 to 5}
Z is a set of integers
M = {x|x is an integer, -12<x<12}
A is a set of letters in a word "MEAN".
B is a set of letters in a word "NAME".
A and B are ______sets.
Equivalent
Equal
M = {x|x is a letter in a word "FACE"}
N = {x|x is a letter in a word "SAFE"}
M and N are _____ sets.
Equivalent
Equal
G is a set of letters in a word "Freebie".
What is the cardinality of set G?
4
5
6
7
P = {x|x is a letter in a word "Challenging"}
5
6
7
8
H = {f, a, i, t, h}
Translate set H into a word description form.
S is a set of whole numbers less than 20.
Translate set S into a Rule form.
This is a collection of well-defined distinct objects.
Elements
Relations
Functions
Sets
The Objects in the sets are called _____.
Characters
Symbols
Elements
Samples
State whether the following sets is well-defined or not well-defined.
The set of honest people in the Philippines.
(a)
State whether the following sets is well-defined or not well-defined.
The set of enjoyable subjects in high school.
(a)
State whether the following sets is well-defined or not well-defined.
The set of even counting numbers less than 30.
(a)
State whether the following sets is well-defined or not well-defined.
The set of prime numbers.
(a)
State whether the following sets is well-defined or not well-defined.
The sets of all beautiful women in the Philippines.
(a)
State whether the following sets is well-defined or not well-defined.
The set of big people.
(a)
State whether the following sets is well-defined or not well-defined.
The set of all colors in the rainbow.
(a)
State whether the following sets is well-defined or not well-defined.
The set of all factors of 100.
(a)
The two ways in presenting a set include:
Listing Method
Recursive Rule
Rule Method
FOIL Method
A set with no element.
Proper Subset
Singleton Set
Equal Set
Null Set
Two sets are _____if they contain exactly the same elements.
Equal
Universal
Equivalent
Power
A set each of whose elements is an element of an inclusive set.
Superset
Proper Subset
Subset
Improper Subset
The symbol for subset.
⊆
⊂
Ø
⊄
What is a complement Set A?
The elements that belong to U
The elements that belong to U and to set “A”
The elements that do not belong to U and do not belong to set “A”
The elements that belong to U and do not belong to set “A”
Complement is denoted by
A′
A-B
A∪B
It is an operation on sets that contains elements that are common to both sets.
Complement of a Set
Difference of Two Sets
Intersection of Sets
Union Sets
