Math

Chapter 5 Practice Test Problems

Name___________________________________

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Suppose that A = {1, 3, 5, 7, 9}, B = {1, 3, 7}, and U = {1, 2, 3, 4, 5, 6, 7, 8, 9}. List the elements of the indicated set. 1) B 2) A B 1) 2) 3)

3) A A Solve the problem. 4) List all the subsets of {1, 2, 3, 4} which do not include 3. 5) List all the subsets of {+, - , ×, ÷}. Let U = {1, 3, 5, 7, 9, 11}, A = {1, 5, 9, 11}, B = {3, 5, 7}, and C = {1, 3, 11}. List the elements of the indicated set. 6) U 7) A B B C

4) 5)

6) 7)

Suppose that U = {a, b, c, d, e}, = {a, e}, B = {a, b}, and C = {a, b, c}. List the elements of the indicated set. 8) A B C 9) (A B) C 8) 9)

Let U = {cars}, A = {cars manufactured in the United States}, B = {cars with automatic transmissions}, and C = {convertibles}. Describe the indicated set in words. 10) A 11) C 10) 11)

Let U = {students}, A = {male students}, B = {varsity students}, and C = {Dean s list students}. Describe the indicated set using set-theoretic notation. 12) {student who are male or on the Dean s list} 12)

Let U = {all voters}, A = {those who voted in the last election}, B = {those who voted Democrat in the last election}, and C = {voters under 30 years of age}. Describe the indicated set. 13) A 14) A C C 13) 14)

1

Let U = {all people}, A = {all American citizens}, B = {people who do not live in their country of citizenship}, C = {German citizens}, and D = {all people living in the United States}. Describe the indicated set using set -theoretic notation. 15) {American citizens living abroad} 16) {Those people with dual American-German citizenship} Solve the problem. 17) Find n(S T), given that n(S) = 10, n(T) = 6, and n(S B) = 3. T) = 5. 17) 18) 19) 15) 16)

18) Find n(A B) if n(A) = 12, n( ) = 5, and n(A

19) In a survey of 1000 people, it was found that 720 watched television news programs daily and 434 read a...