Set Theory Quiz

Which of the following is a well-defined collection of distinct objects?

• A number line

• A set

• A group of elements

• A random assortment

Which notation is used to show that an element belongs to a set?

• ∉

• ⊂

• ∈

• ∩

What is the correct roster notation for the set of vowels in the English alphabet?

• A = {a, e, i, o, u}

• A = (a, e, i, o, u)

• A = [a, e, i, o, u]

• A = a, e, i, o, u

Which of the following sets is infinite?

• A = {1, 2, 3, …, 10}

• B = {a, b, c, d, e}

• C = {1, 2, 3, …}

• D = {x | x ∈ ℕ, x < 50}

Which symbol represents a set of integers?

• ℕ

• ℤ

• ℚ

• W

Which of the following is an example of an irrational number?

• 1.333333...

• 1.4142135...

• 10.5

• -2

Which notation is used to represent the set of natural numbers?

• W

• ℕ

• ℤ

• ℚ

How many elements are in the set {a, b, c}?

• 2

• 3

• 4

• 5

Which of the following sets is an example of a finite set?

• A = {even numbers less than 10}

• B = {natural numbers greater than 1}

• C = {positive integers}

• D = {irrational numbers}

What is the correct notation to show that 7 does not belong to the set A = {1, 2, 3}?

• 7 ∉ A

• 7 ∈ A

• 7 ⊆ A

• 7 ∅ A