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Set Theory: Extra Practice

By Janet Gantert
Last updated almost 4 years ago
36 Questions

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

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

How many students only like basketball?

How many students like swimming or baseball?

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

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

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

How many students like both swimming and basketball?

How many students like both swimming and baseball?

How many students only like baseball?

What is the correct notation for the shaded region?

What is the correct notation for the shaded region?

What is the correct notation for the shaded region?

What is the correct notation for the shaded region?

What is the correct notation for the shaded region?

What is the correct notation for the shaded region?

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 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?

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 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 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?

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 (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.