Find the intersection of the sets. {1,2,3,4}∩{2,4,5}

검증된 단계별 안내

Recall that the intersection of two sets, denoted by \(A \cap B\), consists of all elements that are common to both sets \(A\) and \(B\).

Identify the elements of the first set: \(\{1, 2, 3, 4\}\).

Identify the elements of the second set: \(\{2, 4, 5\}\).

Compare the elements of both sets and find which elements appear in both sets.

List all the common elements to write the intersection set \(\{1, 2, 3, 4\} \cap \{2, 4, 5\}\).

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Set Theory

Set theory studies collections of objects called sets. It provides the foundation for understanding how to group, compare, and operate on these collections, which is essential for working with problems involving sets.

Intersection of Sets

The intersection of two sets includes all elements that are common to both sets. It is denoted by the symbol ∩ and helps identify shared members between sets, such as {1,2,3} ∩ {2,4} = {2}.

Elements and Membership

Elements are the individual objects within a set. Understanding membership means knowing whether a particular element belongs to a set, which is crucial when determining intersections or other set operations.