Complement Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

easy

Let the universal set be

U = \{1, 2, 3, 4, 5, 6\}

and let

A = \{2, 4, 6\}

. Find the complement of

A

Solution

1
The complement contains every element in $U$ that is not in $A$ .
2
Removing 2, 4, and 6 from $U$ leaves $\{1, 3, 5\}$ .

Answer

A^c = \{1, 3, 5\}

A complement is always taken relative to a universal set. Without the universal set, the complement is ambiguous because we would not know what counts as 'outside' the set.

About Complement

The complement of set $A$ relative to a universal set $U$ is the set of all elements in $U$ that do not belong to $A$ , written $A^c$ or $A'$ .

Learn more about Complement →

More Complement Examples

Example 1 easy

Let the universal set [formula] and [formula]. Find [formula].

Example 2 medium

Let [formula], [formula], [formula]. Find [formula].

Example 3 easy

Let [formula] and [formula]. Find [formula].

← All Complement Examples Complement Concept

Related Concepts

Set