Insert ∈ or ∉ in each blank to make the resulting statement true. 0 _____ {0, 5, 6, 7, 8, 10}

검증된 단계별 안내

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

Identify the element and the set: The element given is 0, and the set is \( \{0, 5, 6, 7, 8, 10\} \).

Check if the element 0 is listed inside the set: Look through the set to see if 0 appears as one of the elements.

Since 0 is found in the set \( \{0, 5, 6, 7, 8, 10\} \), the correct symbol to use is \( \in \).

Write the complete true statement: \( 0 \in \{0, 5, 6, 7, 8, 10\} \).

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

47s

도움이 되었나요?

주요 개념

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

Set Membership (Element of a Set)

Set membership refers to whether a particular object or number is an element of a given set. The symbol '∈' means 'is an element of,' indicating inclusion, while '∉' means 'is not an element of,' indicating exclusion. Understanding this helps determine if a number belongs to a specified collection.

Notation of Sets

Sets are collections of distinct objects, often listed within curly braces {}. Each element inside the braces is a member of the set. Recognizing the elements listed helps in verifying membership and applying the correct symbol for inclusion or exclusion.

Use of Symbols ∈ and ∉

The symbols '∈' and '∉' are used to express membership relations between elements and sets. '∈' asserts that an element belongs to a set, while '∉' asserts it does not. Correct usage of these symbols is essential for accurately stating set membership.