CHAPTER 2 TEST - In Exercises 1 to 4, let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, 13, 5, 7, 8}, B = {2, 3, 8, 9, 10}, and C = {1, 4,7, 8}. - In Exercises 12 and 13, draw a Venn diagram to represent the given set. A %3D Use the roster method to write each of the following sets. 1. (AN B)' 3. A' U (B N C') - In Exercises 5 and 6, use set-builder notation to write 12. (A U B') nc 2. A' NB 13. (A' N B) U (An C) 14. Use one of De Morgan's laws to write (A U BY as the intersection of two sets. 4. AN (B' U C) 15. Upgrade Options An automobile company makes a sedan with nine upgrade options. each of the given sets. 5. {0, 1, 2, 3, 4, 5, 6} 7. State the cardinality of each set. 6. {-3, -2, –1,0, 1, 2} a. How many different versions of this sedan can the company produce? b. What is the minimum number of upgrade options the company must provide if it wishes to offer at least 2500 versions of this sedan? a. The set of whole numbers less than 4 b. The set of integers 16. Student Demographics A college finds that 841 of its students are receiving financial aid, 525 students are business majors, and 202 students are receiving finan- cial aid and are business majors. How many students are receiving financial aid or are business majors? - In Exercises 8 and 9, state whether the given sets are equal, equivalent, both, or neither. 8. a. {j, k, 1}, {a, e, i, o, u} b. (x|x E W and x< 4}, {9, 10, 11, 12} 9. a. the set of natural numbers; the set of integers b. the set of whole numbers; the set of positive integers 10. List all of the subsets of {a, b, c, d}. 11. Determine the number of subsets of a set with 21 elements.
CHAPTER 2 TEST - In Exercises 1 to 4, let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, 13, 5, 7, 8}, B = {2, 3, 8, 9, 10}, and C = {1, 4,7, 8}. - In Exercises 12 and 13, draw a Venn diagram to represent the given set. A %3D Use the roster method to write each of the following sets. 1. (AN B)' 3. A' U (B N C') - In Exercises 5 and 6, use set-builder notation to write 12. (A U B') nc 2. A' NB 13. (A' N B) U (An C) 14. Use one of De Morgan's laws to write (A U BY as the intersection of two sets. 4. AN (B' U C) 15. Upgrade Options An automobile company makes a sedan with nine upgrade options. each of the given sets. 5. {0, 1, 2, 3, 4, 5, 6} 7. State the cardinality of each set. 6. {-3, -2, –1,0, 1, 2} a. How many different versions of this sedan can the company produce? b. What is the minimum number of upgrade options the company must provide if it wishes to offer at least 2500 versions of this sedan? a. The set of whole numbers less than 4 b. The set of integers 16. Student Demographics A college finds that 841 of its students are receiving financial aid, 525 students are business majors, and 202 students are receiving finan- cial aid and are business majors. How many students are receiving financial aid or are business majors? - In Exercises 8 and 9, state whether the given sets are equal, equivalent, both, or neither. 8. a. {j, k, 1}, {a, e, i, o, u} b. (x|x E W and x< 4}, {9, 10, 11, 12} 9. a. the set of natural numbers; the set of integers b. the set of whole numbers; the set of positive integers 10. List all of the subsets of {a, b, c, d}. 11. Determine the number of subsets of a set with 21 elements.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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