Complement of a Set
Definition

Given a universe set U, then the complement of set A in set U consists all of the elements in set U that are not in set A. The complement of set A is denoted by any of the following:


Notation for complement of a set

Video does not play in this browser or device. Please try another device or upgrade your browser.

Example One

U: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A: {2, 3, 4}


Given the universe set U, A’ is the set {1, 5, 6, 7, 8, 9, 10}.


Example Two

U: N: The natural numbers

E: The even numbers


Given the universe set N, E’ is the set of odd numbers.


Example Three

U: I: The integers: {..., -3, -2, -1, 0, 1, 2, 3, ...}

W: The whole numbers: {0, 1, 2, 3, ...}


Given the universe set I, W’ is the set of negative natural numbers {..., -3, -2, -1} or {-1, -2, -3, ...}.