Unit 1: Introduction QUIZ 1: SET THEORY

The mathematical statement 4 E A means:

4 is an element of A

The mathematical statement 4 C A means:

4 is a subset of A

A = {1,2}

B = {1,2,3,4}

Given the two sets, which statement is true?

a. B C A

b. 3 C A

c. 4 C A

d. A C B

e. none of the above

d. A C B

Which of the following is an infinite set?

a. {1,2,3...100}

b. empty set

c. the set of whole numbers less than one billion

d. the set of natural numbers

e. none of the above

d. the set of natural numbers

Given the following sets.

A = {0, 1, 2, 3}

B = {a, b, c, d}

C = {0, a, 2, b}

Find A n B

a. {0, 1, 2, 3}

b. {a, b, c, d}

c. {0, a, 2, b}

d. empty set

e. {0, a}

d. empty set

Given the following sets.

A = {0, 1, 2, 3}

B = {a, b, c, d}

C = {0, a, 2, b}

Find B u C

a. {0, 1, 2, 3}

b. {a, b, c, d}

c. {0, a, 2, b}

d. empty set

e. {a, b, c, d, 0, 2}

e. {a, b, c, d, 0, 2}

Given the following sets.

A = {0, 1, 2, 3}

B = {a, b, c, d}

C = {0, a, 2, b}

Find A n C

a. {0, 1, 2, 3}

b. {a, b, c, d}

c. {0, a, 2, b}

d. empty set

e. {0, 2}

e. {0, 2}

U = {2, 3, 4, 5, 6, 7, 8, 9}

M = {3, 4, 7, 9}

N = {4, 6, 7}

Find M n N

a. {4, 7}

b. {3, 4, 6, 7, 9}

c. {2, 5, 8}

d. empty set

a. {4, 7}

U = {2, 3, 4, 5, 6, 7, 8, 9}

M = {3, 4, 7, 9}

N = {4, 6, 7}

List all the elements NOT in Set M.

a. 2, 5, 6, 8

b. 4, 7

c. 3, 9

d. 2, 5, 8

a. 2, 5, 6,8

U = {2, 3, 4, 5, 6, 7, 8, 9}

M = {3, 4, 7, 9}

N = {4, 6, 7}

The U in the upper right corner stands for the:

a. bigger set

b. universal set

c. infinite set

d. complement

e. none of the above

b. universal set

The number of subsets that can be created from the set {1, 2, 3} is:

a. 3

b. 6

c. 7

d. 8

d. 8