Set Theory: Extra Practice
By Janet Gantert
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Last updated over 3 years ago
36 Questions
1
1.
How many students do not like both swimming and basketball?HINT: (swimming ⋂ basketball)'
How many students do not like both swimming and basketball?
HINT: (swimming ⋂ basketball)'
1
2.
How many students do not like both basketball and baseball?HINT: (basketball ⋂ baseball)'
How many students do not like both basketball and baseball?
HINT: (basketball ⋂ baseball)'
1
3.
How many students only like basketball?
How many students only like basketball?
1
4.
How many students like swimming or baseball?
How many students like swimming or baseball?
1
5.
How many students do not like either basketball or baseball?Hint: (basketball ∪ baseball)'
How many students do not like either basketball or baseball?
Hint: (basketball ∪ baseball)'
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6.
How many students like all three: swimming and basketball and baseball?
How many students like all three: swimming and basketball and baseball?
1
7.
How many students do not like either swimming or baseball?Hint: (swimming ∪ baseball)'
How many students do not like either swimming or baseball?
Hint: (swimming ∪ baseball)'
1
8.
How many students like both swimming and basketball?
How many students like both swimming and basketball?
1
9.
How many students like both swimming and baseball?
How many students like both swimming and baseball?
1
10.
How many students only like baseball?
How many students only like baseball?
1
11.
What is the correct notation for the shaded region?
What is the correct notation for the shaded region?
1
12.
What is the correct notation for the shaded region?
What is the correct notation for the shaded region?
1
13.
What is the correct notation for the shaded region?
What is the correct notation for the shaded region?
1
14.
What is the correct notation for the shaded region?
What is the correct notation for the shaded region?
1
15.
What is the correct notation for the shaded region?
What is the correct notation for the shaded region?
1
16.
What is the correct notation for the shaded region?
What is the correct notation for the shaded region?
4
17.
Create a venn diagram to match the given information: In a class of 40 students, 12 students enrolled for both Physics and Calculus and 22 students were enrolled for Calculus. Use your venn diagram to answer the following question:
If all of the students of the class enrolled for at least one of the two subjects, how many students enrolled for only Physics and not Calculus?
Create a venn diagram to match the given information: In a class of 40 students, 12 students enrolled for both Physics and Calculus and 22 students were enrolled for Calculus. Use your venn diagram to answer the following question:
If all of the students of the class enrolled for at least one of the two subjects, how many students enrolled for only Physics and not Calculus?
4
18.
Create a venn diagram to match the given information: In a group of 60 people, 27 like iced tea and 42 like coffee. Use your venn diagram to answer the following question:
If all of the people in the group liked at least one of the two types of drinks, how many people like both iced tea and coffee?
Create a venn diagram to match the given information: In a group of 60 people, 27 like iced tea and 42 like coffee. Use your venn diagram to answer the following question:
If all of the people in the group liked at least one of the two types of drinks, how many people like both iced tea and coffee?
1
19.
Given three sets P, Q and R such that:P = {10, 11, 12, 13, 14, 15, 16}Q = {8, 10, 12, 14, 16, 18, 20} R = {7, 9, 11, 14, 18, 20}
What are the elements of Q - R?
Given three sets P, Q and R such that:
P = {10, 11, 12, 13, 14, 15, 16}
Q = {8, 10, 12, 14, 16, 18, 20}
R = {7, 9, 11, 14, 18, 20}
What are the elements of Q - R?
1
20.
Given three sets P, Q and R such that:P = {10, 11, 12, 13, 14, 15, 16}Q = {8, 10, 12, 14, 16, 18, 20} R = {7, 9, 11, 14, 18, 20}
What are the elements of R - P?
Given three sets P, Q and R such that:
P = {10, 11, 12, 13, 14, 15, 16}
Q = {8, 10, 12, 14, 16, 18, 20}
R = {7, 9, 11, 14, 18, 20}
What are the elements of R - P?
1
21.
Given three sets P, Q and R such that:P = {10, 11, 12, 13, 14, 15, 16}Q = {8, 10, 12, 14, 16, 18, 20} R = {7, 9, 11, 14, 18, 20}
What are the elements of P - Q?
Given three sets P, Q and R such that:
P = {10, 11, 12, 13, 14, 15, 16}
Q = {8, 10, 12, 14, 16, 18, 20}
R = {7, 9, 11, 14, 18, 20}
What are the elements of P - Q?
1
22.
Given three sets P, Q and R such that:P = {10, 11, 12, 13, 14, 15, 16}Q = {8, 10, 12, 14, 16, 18, 20} R = {7, 9, 11, 14, 18, 20}
What are the elements of P ⋂ Q?
Given three sets P, Q and R such that:
P = {10, 11, 12, 13, 14, 15, 16}
Q = {8, 10, 12, 14, 16, 18, 20}
R = {7, 9, 11, 14, 18, 20}
What are the elements of P ⋂ Q?
1
23.
Given three sets P, Q and R such that:P = {10, 11, 12, 13, 14, 15, 16}Q = {8, 10, 12, 14, 16, 18, 20} R = {7, 9, 11, 14, 18, 20}
What are the elements of P ⋂ Q ⋂ R?
Given three sets P, Q and R such that:
P = {10, 11, 12, 13, 14, 15, 16}
Q = {8, 10, 12, 14, 16, 18, 20}
R = {7, 9, 11, 14, 18, 20}
What are the elements of P ⋂ Q ⋂ R?
1
24.
Given three sets P, Q and R such that:P = {10, 11, 12, 13, 14, 15, 16}Q = {8, 10, 12, 14, 16, 18, 20} R = {7, 9, 11, 14, 18, 20}
What are the elements of (R ⋂ Q) - P ?
Given three sets P, Q and R such that:
P = {10, 11, 12, 13, 14, 15, 16}
Q = {8, 10, 12, 14, 16, 18, 20}
R = {7, 9, 11, 14, 18, 20}
What are the elements of (R ⋂ Q) - P ?
For problems #25 to #36 below, determine which of the given notations at the top of the document matches with each shaded region. Use each notation only once. For each one you get correct I will give you an extra credit point added on to this assignment.
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25.
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27.
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36.