Log inSign up for FREE
Library

Set Theory: Extra Practice

Last updated almost 5 years ago
36 questions
1

How many students do not like both swimming and basketball?
HINT: (swimming ⋂ basketball)'

1

How many students do not like both basketball and baseball?
HINT: (basketball ⋂ baseball)'

1

How many students only like basketball?

1

How many students like swimming or baseball?

1

How many students do not like either basketball or baseball?
Hint: (basketball ∪ baseball)'

1

How many students like all three: swimming and basketball and baseball?

1

How many students do not like either swimming or baseball?
Hint: (swimming ∪ baseball)'

1

How many students like both swimming and basketball?

1

How many students like both swimming and baseball?

1

How many students only like baseball?

1

What is the correct notation for the shaded region?

1

What is the correct notation for the shaded region?

1

What is the correct notation for the shaded region?

1

What is the correct notation for the shaded region?

1

What is the correct notation for the shaded region?

1

What is the correct notation for the shaded region?

4

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

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

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

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

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

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

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

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.
1
1
1
1
1
1
1
1
1
1
1
1