Find {16, 18, 21, 50} ∩ {15, 16, 17, 18}.

Key Concepts

Set Intersection

Set intersection is a fundamental operation in set theory that identifies the common elements between two or more sets. For example, if we have two sets A and B, the intersection A ∩ B consists of all elements that are present in both A and B. This concept is crucial for solving problems that require finding shared values among different groups.

Set Notation

Set notation is a mathematical language used to describe sets and their relationships. It includes symbols such as braces { } to denote a set, and the intersection symbol (∩) to indicate the intersection of sets. Understanding set notation is essential for interpreting and solving problems involving sets, as it provides a clear framework for expressing mathematical ideas.

Element Membership

Element membership refers to the relationship between an element and a set, indicating whether the element is part of the set. This is denoted by the symbol '∈', meaning 'is an element of'. In the context of set operations, recognizing which elements belong to which sets is vital for accurately determining intersections, unions, and other set-related calculations.