Determine whether each statement is true or false. 9 ∉ {8, 5, 2, 1}

검증된 단계별 안내

Understand the notation: The symbol \( \in \) means "is an element of," and \( \notin \) means "is not an element of."

Identify the set given: \( \{8, 5, 2, 1\} \) is a set containing the elements 8, 5, 2, and 1.

Check if the number 9 is in the set: Look through the elements of the set to see if 9 appears.

Since 9 does not appear in the set \( \{8, 5, 2, 1\} \), the statement \( 9 \notin \{8, 5, 2, 1\} \) is true.

Therefore, the statement correctly expresses that 9 is not an element of the set.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

47s

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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,' while ∉ means 'is not an element of.' Understanding this helps determine if a specific number is included in the set.

Set Notation

Set notation uses curly braces {} to list elements of a set. Each element inside the braces is a member of the set. Recognizing this notation is essential to identify which numbers are included in the set.

True or False Statements

Evaluating true or false statements involves verifying the accuracy of a claim based on given information. In this context, it means checking if the element 9 is or is not in the set {8, 5, 2, 1} to determine the statement's truth value.