Determine whether each statement is true or false. {2, 5, 8, 9} = {2, 5, 9, 8}

검증된 단계별 안내

Understand that the problem is asking whether the two sets $\{2, 5, 8, 9\}$ and $\{2, 5, 9, 8\}$ are equal.

Recall the definition of set equality: Two sets are equal if and only if they contain exactly the same elements, regardless of the order.

List the elements of the first set: \$2, 5, 8, 9$.

List the elements of the second set: \$2, 5, 9, 8$.

Compare the elements of both sets to confirm that they contain the same elements, just in a different order, which means the sets are equal.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

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주요 개념

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

Set Equality

Two sets are equal if and only if they contain exactly the same elements, regardless of the order or repetition. This means that every element of the first set must be in the second set, and vice versa.

Order Irrelevance in Sets

In set theory, the order of elements does not matter. For example, {2, 5, 8} is the same set as {5, 8, 2} because they contain the same elements, just arranged differently.

Element Membership

Element membership refers to whether a particular item is contained within a set. To verify set equality, you check that each element of one set is a member of the other set.