What does the intersection of two sets include?

The intersection of two sets includes only the elements that are common to both sets. This means that the intersection consists of those elements that appear in both sets simultaneously. For example, if Set A contains the elements {1, 2, 3} and Set B contains the elements {2, 3, 4}, the intersection of Set A and Set B is {2, 3} because those are the elements that are found in both sets.

Understanding the intersection is crucial in set theory, as it allows one to analyze relationships between different groups of elements, focusing specifically on what they have in common. This concept is foundational for various applications in mathematics, statistics, and probability, making it essential for students learning about set operations.