Insert ∈ or ∉ in each blank to make the resulting statement true. {2} ____ {2, 4, 6, 8}

검증된 단계별 안내

Understand the problem: We need to determine whether the element 2 is a member of the set {2, 4, 6, 8}. The symbol \( \in \) means 'is an element of,' and \( \notin \) means 'is not an element of.'

Look at the set given: {2, 4, 6, 8}. This set contains the numbers 2, 4, 6, and 8.

Check if the number 2 is listed inside the set. Since 2 is explicitly listed as the first element, it is indeed part of the set.

Therefore, the correct symbol to use between 2 and the set {2, 4, 6, 8} is \( \in \), indicating membership.

Write the complete true statement: \( 2 \in \{2, 4, 6, 8\} \).

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

도움이 되었나요?

주요 개념

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

Set Membership (Element of) Symbol (∈)

The symbol ∈ denotes that an element belongs to a set. For example, if a number is contained within a set, we write that number ∈ the set. Understanding this symbol helps determine whether a specific element is included in a given set.

Set Non-membership Symbol (∉)

The symbol ∉ indicates that an element does not belong to a set. It is used to show that a particular item is not contained within the set. Recognizing when to use ∉ is essential for correctly expressing membership relations.

Set Notation and Elements

Sets are collections of distinct elements, often listed within curly braces {}. Understanding how to read and interpret sets, including identifying their elements, is fundamental to determining membership and applying the correct symbol (∈ or ∉).