Set Types

Null Set Finite Set Infinite Set Equivalent Sets Equal Sets

A set that contains no elements. Denoted by ∅ or {}.

Example: Set of months with 32 days: ∅

Which of the following is an example of a null set?

Set of natural numbers Set of months with 32 days Set of vowels in English Set of prime numbers less than 10

A set with a countable number of elements that has an end.

Example: Set of vowels in English: {a, e, i, o, u}

Which of the following is a finite set?

Set of natural numbers Set of integers Set of days in a week Set of real numbers between 0 and 1

A set with unlimited elements that continues indefinitely.

Example: Set of natural numbers: {1, 2, 3, ...}

Which of the following is an infinite set?

Set of vowels in English Set of planets in solar system Set of even numbers Set of months in a year

Sets with the same number of elements (same cardinality).

Example: Set A = {1, 2, 3} and Set B = {a, b, c} are equivalent (both have 3 elements).

Which pair of sets are equivalent?

{1, 2, 3} and {a, b, c} {1, 2} and {1, 2, 3} {a, b} and {1} {x, y, z} and {x, y}

Sets that contain exactly the same elements.

Example: {1, 2, 3} = {3, 2, 1} (order doesn't matter).

Which pair of sets are equal?

{1, 2, 3} and {3, 2, 1} {a, b} and {1, 2} {x, y, z} and {x, y} {1, 1, 2} and {1, 2, 3}