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QUIZ 4 (2.1/2.2)

MATH 105

Name____________________________________________

Section_______________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

List the elements in the set.

1) { x x is an even integer smaller than 8}

A) {0, 2, 4, 6}

C) {…, -6, -4, -2, 2, 4, 6}

B) {2, 4, 6}

D) {…, -6, -4, -2, 0, 2, 4, 6}

Write the set in set-builder notation.

2) {…, -3, -2, -1, 0, 1, 2, 3, …}

A) {-3, -2, -1, 0, 1, 2, 3}

C) {x | x is any integer greater than -3}

B) {x | x is an integer}

D) {x | x is a natural number}

1)

3) {2, 4, 6, 8}

A) {x | x is any even natural number}

B) {x | x is any even integer less than 10}

C) {2, 4, 6, 8}

D) {x | x is an even natural number less than 10}

3)

Identify the set as finite or infinite.

4) {x | x is a prime number}

A) Infinite

B) n(A) = 10

C) n(A) = 5

D) n(A) = 3

C) n(A) = 6301

D) n(A) = 6300

Complete the blank with either or to make the statement true.

8) -2 {2, 4, 6, …, 14}

A)

B)

A)

5)

B) Infinite

7) A = {700, 701, 702, …, 7000}

A) n(A) = 7000

B) n(A) = 4

9) -3

4)

B) Finite

5) {8, 9, 10, …, 32}

A) Finite

Find n(A) for the set.

6) A = {5, 5, 6, 6, …, 9, 9}

A) n(A) = 6

2)

{-2 + 5, -4 + 5, -6 + 5, -8 + 5}

B)

Tell whether the statement is true or false.

10) {8} = {x | x is an even counting number between 10 and 16}

A) True

B) False

11) {s, q, y, o, d} = {o, d, q, s, y}

A) True

B) False

1

6)

7)

8)

9)

10)

11)

Use or in the blank to make a true statement.

12) {3, 5, 7}

{2, 3, 4, 5, 7}

A)

13) {11, 13, 15}

A)

12)

B)

{x | x is an odd counting number}

13)

B)

Determine whether the statement is true or false.

Let A = {1, 3, 5, 7}

B = {5, 6, 7, 8}

C = {5, 8}

D = {2, 5, 8}

U = {1, 2, 3, 4, 5, 6, 7, 8}

14) C D

A) True

14)

B) False

15) A {7, 5, 3, 1}

A) True

15)

B) False

Find the number of subsets of the set.

16) {x | x is an even number between 11 and 27}

A) 7

B) 128

C) 256

D) 53

Find the number of proper subsets of the set.

17) {x | x is a day of the week}

A) 64

B) 256

C) 128

D) 127

Let U = {1, 2, 4, 5, a, b, c, d, e}. Find the complement of the set.

18) Q = {2, 4, b, d}

A) {1, 3, 5, a, c, e}

C) {1, 2, 4, 5, a, b, c, d, e}

B) {1, 5, a, e}

D) {1, 5, a, c, e}

19) T = U

A) T

B)

C) {U – T’}

Solve the problem.

20) List all possible proper subsets of the set {2, 6, 7}.

A) , {2}, {6}, {7}, {2, 6}, {2, 7}, {6, 7}, {2, 6, 7}

C) {2}, {6}, {7}, {2, 6}, {2, 7}, {6, 7}, {2, 6, 7}

17)

18)

D) U

B) {2}, {6}, {7}, {2, 6}, {2, 7}, {6, 7}

D) , {2}, {6}, {7}, {2, 6}, {2, 7}, {6, 7}

2

16)

19)

20)

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