Test CНАРТER 2 In Exercises 1-8, state whether each statement is true or false. If the statement is false, explain why. 10. Write a description of set A. In Exercises 11-16, use the following information. {1,3, 5, 7, 9, 11, 13, 15} {3, 5, 7,9} {7,9, 11, 15} {3, 11, 15} 1. {2, y, A, $} is equivalent to {1, #, 6, 0}. 2. {3, 5, 9, h} = {9, 5, 3. j} 3. {star, moon, sun} C {star, moon, sun, planet} 4. {7} C {x\x€ N and x < 7} Determine the following. 5. {p, q, r, s} has 15 subsets. 12. A U C' 11. ANB 6. If ANB = { }, then A and B are disjoint sets. 14. n(A N B') 13. AN (BNC') 7. For any set A, AU A' = { }. 15. A - B 16. A XC 8. For any set A, ANU = A. 17. Using the sets provided for Exercises 11-16, draw a Venn diagram illustrating the relationship among the sets. In Exercises 9 and 10, use set 18. Use a Venn diagram to determine whether A = {x|x €N and x < 12} AN (BUC') = (AN B) U (ANC') 9. Write set A in roster form. for all sets A, B, and C. Show your work.

Test CНАРТER 2 In Exercises 1-8, state whether each statement is true or false. If the statement is false, explain why. 10. Write a description of set A. In Exercises 11-16, use the following information. {1,3, 5, 7, 9, 11, 13, 15} {3, 5, 7,9} {7,9, 11, 15} {3, 11, 15} 1. {2, y, A, $} is equivalent to {1, #, 6, 0}. 2. {3, 5, 9, h} = {9, 5, 3. j} 3. {star, moon, sun} C {star, moon, sun, planet} 4. {7} C {x\x€ N and x < 7} Determine the following. 5. {p, q, r, s} has 15 subsets. 12. A U C' 11. ANB 6. If ANB = { }, then A and B are disjoint sets. 14. n(A N B') 13. AN (BNC') 7. For any set A, AU A' = { }. 15. A - B 16. A XC 8. For any set A, ANU = A. 17. Using the sets provided for Exercises 11-16, draw a Venn diagram illustrating the relationship among the sets. In Exercises 9 and 10, use set 18. Use a Venn diagram to determine whether A = {x|x €N and x < 12} AN (BUC') = (AN B) U (ANC') 9. Write set A in roster form. for all sets A, B, and C. Show your work.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 36SE: The number of 5-element subsets from a set containing n elements is equal to the number of 6-element...

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