Determine whether each statement is true or false. 6 ∈ {2, 5, 8, 9}

검증된 단계별 안내

Understand the notation: The symbol \( \in \) means "is an element of" or "belongs to" a set.

Identify the set given: \( \{2, 5, 8, 9\} \) is a set containing the elements 2, 5, 8, and 9.

Check if the number 6 is listed as an element inside the set \( \{2, 5, 8, 9\} \).

Since 6 is not one of the elements 2, 5, 8, or 9, it does not belong to the set.

Therefore, the statement \( 6 \in \{2, 5, 8, 9\} \) is false.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

40s

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주요 개념

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

Set Membership

Set membership refers to whether an element belongs to a given set. The symbol '∈' denotes 'is an element of,' so the statement '6 ∈ {2, 5, 8, 9}' asks if 6 is included in the set containing 2, 5, 8, and 9.

Set Notation

Set notation uses curly braces {} to list elements of a set explicitly. Understanding this notation helps identify which elements are included and is essential for evaluating membership statements.

True or False Statements in Mathematics

Determining the truth value of a statement involves verifying if the conditions hold. For membership, the statement is true if the element is in the set; otherwise, it is false.