Introduction to Sets Review

Identify whether the following set is either well-defined or not well-defined:

V = {students at Mt. Blue High School}

• Well-Defined

• Not Well-Defined

• I have no idea

Identify whether the following set is finite or infinite:

K = { }

• Finite

• Infinite

• I have no idea

Let set K = {a, e, f, k, n, m}. Which of the following statements is true?

• i ∈ K

• m ∉ K

• n ∈ K

• k ∉ K

Determine the cardinality of the following set:

B = {2, 3, 4, ...}

• n(B) = 3

• n(B) = 4

• n(B) = ∞

• n(B) = -∞

Identify whether the following set is either well-defined or not well-defined:

G = {countries in Europe}

• Well-Defined

• Not Well-Defined

• I have no idea

Identify whether the following set is finite or infinite:

G = { ..., -2, -1, 0, 1, 2}

• Finite

• Infinite

• I have no idea

Identify whether each of the following sets are equal, equivalent, or neither:

V = {whole numbers greater than 3 and less than 7} and U = {4, 5, 6}

• Equal

• Equivalent

• Neither

Let set O = {January, April, March, December, July}. Which of the following statements is true?

• June ∉ O

• August ∈ O

• March ∉ O

• July ∉ O

Identify whether the following set is either well-defined or not well-defined:

F = {large numbers}

• Well-Defined

• Not Well-Defined

• I have no idea

Identify whether each of the following sets are equal, equivalent, or neither:

Q = {2, 4, 6, 8, ...} and W = {2, 4, 6, 8}

• Equal

• Equivalent

• Neither