Determine whether each statement is true or false. 3 ∈ {2, 5, 6, 8}

검증된 단계별 안내

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

Identify the set given: \( \{2, 5, 6, 8\} \) is a set containing the elements 2, 5, 6, and 8.

Check if the number 3 is listed as an element inside the set \( \{2, 5, 6, 8\} \).

Since 3 is not one of the elements in the set, it does not belong to the set.

Therefore, the statement \( 3 \in \{2, 5, 6, 8\} \) is false.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

37s

도움이 되었나요?

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 '3 ∈ {2, 5, 6, 8}' asks if 3 is included in the set containing 2, 5, 6, and 8.

Set Notation

Set notation uses curly braces {} to list elements of a set explicitly. Understanding how to read and interpret these braces is essential to identify which elements are contained within the set.

True or False Statements in Mathematics

Determining the truth value of a statement involves verifying if the conditions stated are met. In this case, checking if the element is in the set confirms whether the statement is true or false.