Determine if the statement is true or false.
[tex]$10 \in{1,6,7,8,10}$[/tex]
Choose the correct answer below.
True
False
Answer (2)
The problem asks to determine if 10 is an element of the set {1, 6, 7, 8, 10}.
We check if 10 is present in the set.
Since 10 is in the set, the statement is true.
Therefore, the answer is T r u e .
Explanation
Understanding the Problem The question asks whether the number 10 is an element of the set {1, 6, 7, 8, 10}. In other words, we need to check if 10 is one of the numbers listed within the set.
Checking for Membership By examining the set {1, 6, 7, 8, 10}, we can see that the number 10 is indeed present in the set.
Conclusion Since 10 is in the set {1, 6, 7, 8, 10}, the statement 10 ∈ { 1 , 6 , 7 , 8 , 10 } is true.
Examples
In everyday life, we often check if an item belongs to a specific group. For example, when organizing a bookshelf, you might check if a particular book belongs to the 'Fiction' section or the 'Non-Fiction' section. Similarly, in programming, you might check if a user ID exists in a list of authorized users. This problem demonstrates a basic set membership check, which is a fundamental concept in mathematics and computer science.
The statement 10 ∈ { 1 , 6 , 7 , 8 , 10 } is true because the number 10 is present in the set. Thus, we conclude the statement is correct. The answer is T r u e .
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