What is the correct notation for the shaded region?
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Question 17
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?
Question 18
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?
Question 19
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?
Question 20
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?
Question 21
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?
Question 22
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?
Question 23
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?
Question 24
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 ?
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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Question 1
1.
How many students do not like both swimming and basketball?
HINT: (swimming ⋂ basketball)'
Question 2
2.
How many students do not like both basketball and baseball?
HINT: (basketball ⋂ baseball)'
Question 3
3.
How many students only like basketball?
Question 4
4.
How many students like swimming or baseball?
Question 5
5.
How many students do not like either basketball or baseball?
Hint: (basketball ∪ baseball)'
Question 6
6.
How many students like all three: swimming and basketball and baseball?
Question 7
7.
How many students do not like either swimming or baseball?
Hint: (swimming ∪ baseball)'
Question 8
8.
How many students like both swimming and basketball?
Question 9
9.
How many students like both swimming and baseball?
Question 10
10.
How many students only like baseball?
Question 12
12.
What is the correct notation for the shaded region?
Question 13
13.
What is the correct notation for the shaded region?
Question 14
14.
What is the correct notation for the shaded region?
Question 15
15.
What is the correct notation for the shaded region?
Question 16
16.
What is the correct notation for the shaded region?
