Identify the two sets given in the problem: Set A = \{16, 18, 21, 50\} and Set B = \{15, 16, 17, 18\}.
Understand that the symbol represents the intersection of two sets, which means finding the common elements between the two sets.
Compare each element of Set A with each element of Set B to find any common elements.
List the elements that appear in both Set A and Set B.
The result of the intersection is the set of common elements identified in the previous step.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
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 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 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.