Glossary math Term Page

Set difference

The set of elements in the first set but not the second

set-difference #math#set-theory

Aliases

set differencedifference of sets

Prerequisites

Mathematical set

Related Concepts

Set operation Union Intersection Complement

Core Idea

The set difference $A \setminus B$ contains the elements that are in $A$ but not in $B$ . The order matters.

Role In This Blog

In Mathbong, set difference is used to show that not every set operation is symmetric and to prepare for the idea of complement.

Posts Mentioning This Concept

[Set Theory Series 4] Set Operations: Union, Intersection, Difference, and Complement Learn the four most common set operations and see how they connect naturally to logical conditions.[집합론 시리즈 4편] 집합 연산: 합집합, 교집합, 차집합, 여집합 집합 사이의 대표 연산 네 가지를 익히고, 조건의 결합이 집합 연산과 어떻게 연결되는지 봅니다.