WS Chapter 2 - PC\|MAC
WS Chapter 2 Discrete Math Name_________________
Write a word description of each set.
1. {6, 7, 8, 9, ...} 2. {Saturday, Sunday}
Express each set using the roster method.
3. {x| x is a letter in the word miss} 4. [pic]
Determine which sets are the empty set.
5. [pic] 6. [pic]
Determine whether each statement is true or false
7. [pic] 8. [pic] 9. [pic]
Find the cardinal number for each set.
10. A = {16, 18, 20, 22, 24, 26}
11. [pic]
A. Are the sets equivalent? Explain. B. Are the sets equal? Explain.
12. [pic] 13. [pic]
Determine whether [pic], both or neither can be placed in each blank to form a true statement.
14. {1, 2} ______ { 1, 1, 2, 2} 15. [pic]
Determine whether each statement is true or false. If the statement is false, explain why.
16. [pic] 17. {six} has 26 subsets.
18. Find the number of subsets and the number of proper subsets for the following set.
[pic]
Let U = {1, 2, 3, 4, 5, 6, 7}; A = {1, 3, 5, 7}; B = {1, 2, 3}; C = {2, 3, 4, 5, 6} Find each of the following sets.
19. [pic] 20. [pic] 21. B' 22. [pic]
23. [pic] 24. [pic] 25. n(U) - n(B) 26. [pic]
27. [pic] 28. [pic] 29. [pic]
Use the Venn diagram to determine each set or cardinality.
30. A 31. [pic]
32. [pic] 33. [pic]
34. [pic] 35. [pic]
36. Mrs. Bollo's second grade class of 30 students conducted a pet ownership survey. Results of the survey indicate that 8 students own a cat, 15 students own a dog, and 5 students own both a cat and a dog. How many of the students own neither a cat nor a dog?
37. Construct a Venn diagram illustrating the given sets.
A = {4, 5, 6, 7, 8, 9}, B = {3, 4, 5, 6, 10}, C = {2, 3, 4, 5, 9}, U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
WS Chapter 2 Cont. Discrete Math Pg 2
Use set notation to identify the shaded region.
38. 39. 40.
Use the following Venn diagram. How many elements belong to the given set?
41. set A
42. set A but not set B
43. set A and set B
44. neither set A nor set B
Use the Venn diagram and the given conditions to determine the number of elements in each region, or explain why the conditions are impossible to meet.
45. [pic]
46. [pic]
Construct a Venn diagram and determine the cardinality for each region. Use the completed Venn diagram to answer the questions.
47. A survey of 120 college students was taken at registration. Of those surveyed, 75 students registered for a math course, 65 for an English course, and 40 for both math and English. Of those surveyed,
a. How many registered only for a math course?
b. How many registered only for an English course?
c. How many registered for a math course or an English course?
d. How many did not register for either a math course or an English course?
48. A survey of 180 college men was taken to determine participation in various campus activities. 43 students were in fraternities, 52 participated in campus sports, and 35 participated in various campus tutorial programs. 13 students participated in fraternities and sports, 14 in sports and tutorial programs and 12 in fraternities and tutorial programs. 5 students participate in all three activities.
a. How many participated in only campus sports?
b. How many participated in fraternities and sports, but not tutorial programs?
c. How many participated in fraternities or sports, but not tutorial programs?
d. How many participated in exactly one of these activities?
e. How many participated in at least two of these activities?
f. How many did not participate in any of the three activities?
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.