Chapter 1 Practice Test
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- Consider the following sets:If the U= {x | x ≤ 10 and x ∈ W}
- A = {1, 4, 5, 6, 7, 9, 10}
- B = {x | x is a prime number}
Draw a Venn diagram and determine:
A. A∪B’_______________________B. n (A’∩B’) _________________________
C. Not A or not B_____________________________
D. B’________________________ - A restaurant offers Chinese, Thai, and Korean food.
The following Venn diagram shows the types of food the 100 customers like.Use the diagram to determine
A. How many customers like Thai but not like Chinese food__________
B. How many customers like Thai and Korean food ______________
C. How many customers did not like Korean food__________
D. How many customers like Thai and Chinese but not like Korean food_________________ - Consider the universal set U= {x | x and the following sets:
- A= {1, 2, 5,6, 7,11}
- B = {x | x is a factor of 10}
- C = {x | x is an even number}
Draw the Venn diagram and determine:
A. C ______________________
B. A and not B___________________________
C. C _________________________________
D. Not C___________________________________
E. A and B and C______________________________
F. C and not A and not B_______________________
G. A or B or C_______________________ - List all possible subsets of set T= {3, 5, 7}
- In the class of 62 students, 48 like pizza and 35 like hamburgers. If 18 students like only pizza, find out how many students did not like any of those foods. Use the Venn diagram to represent the problem.
- Consider the following sets: A= {2, 7, 9}, B= {3, 5, 8}, C= {2, 3, 4, 5, 6, 8, 9, 10}
- Make the following statements true:
i) 6 ii) ____ iii) ____A - Make the statements false:
i) ____ ii) ___ iii) _______
- Make the following statements true:
- Shade the region indicated.
A∪C’
(B∪C)∩A’
not B or not C - 94 people were surveyed on whether they like walking, biking, and running.
- 9 people did not like any of the three activities
- 53 people liked walking
- 44 people liked running
- 32 people liked walking and running
- 19 people liked running and biking
- 21 people liked biking and walking
- 7 people liked all three activities
Determine how many people liked:
- only biking ___________
- both running and biking, but did not like walking _______
- liked running, but did not like biking _________
- Consider the following sets:If the U= {x | x ≤ 10 and x ∈ W}
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