Graham Patel
05/12/2024 · Elementary School
Let \( T \) be the set of all odd prime numbers. Select the statement below that is true for set \( T \). \( T \) is a well-defined infinite set. \( T \) is a well-defined finite set. \( T \) is not well-defined, but is infinite. \( T \) is not well-defined, but is finite.
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The set \( T \) is defined as the set of all odd prime numbers.
1. **Well-defined**: A set is well-defined if there is a clear criterion for membership. In this case, an odd prime number is a prime number greater than 2, which is clearly defined.
2. **Infinite**: The set of all prime numbers is known to be infinite, and since all odd primes (which are all primes except for the even prime number 2) are included in this set, \( T \) is also infinite.
Given these points, the correct statement about set \( T \) is:
**\( T \) is a well-defined infinite set.**
Quick Answer
\( T \) is a well-defined infinite set.
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