Illustrated definition of Complement (set): All elements (from a universal set) not in our set. Example: With a universal set of 1,2,3,4,5,6 the...

The complement of a set is the set that includes all the elements of the universal set that are not present in the given set. i.e., the complement of a set A is A' = U - A, where U is the universal set.

If B is the set of multiples of 3, then the complement of B is the set of numbers congruent to 1 or 2 modulo 3 (or, in simpler terms, the integers that are not multiples of 3).

Jun 11, 2024 · Thus, the complement of set A is the difference between the universal set and set A. It is written as A’ = U – A. It has many applications in set theory and topological spaces. For …

Oct 1, 2025 · The complement of a set is the set that consists of all the elements from the universal set that are not already included in the given set. In other words, the difference …

Nov 10, 2025 · Formally, if we have a universal set U and a subset A ⊆ U, the complement of A is defined as the set of all elements of U that are not in A. It is denoted as A′ and expressed in …

What is the Complement of a Set? The complement of a set includes all elements that are not in the original set. Imagine you have a box of crayons - the complement would be all the crayons …

Nov 14, 2025 · In general, the word "complement" refers to that subset F^' of some set S which excludes a given subset F. Taking F and its complement F^' together then gives the whole of …

Summary: Given set A, the complement of A is the set of all element in the universal set, that are not in A. The complement of set A is denoted as A’ and is read as A-prime.

Complement (Relative), denoted \ ( \backslash\), refers to the elements that are in the first set, but are not in the second set. In the example, \ ( H\backslash T = \ { c, f \} \).