Which one of the following is the null set?Group of answer choicesThe set of even prime numbersThe set of factors of 7The set of rational expressions for πThe set of subsets of the null set
Question
Which one of the following is the null set?Group of answer choicesThe set of even prime numbersThe set of factors of 7The set of rational expressions for πThe set of subsets of the null set
Solution
The null set, also known as the empty set, is a set that contains no elements.
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The set of even prime numbers: The only even prime number is 2. So, this set contains one element, which is 2. Therefore, it is not a null set.
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The set of factors of 7: The factors of 7 are 1 and 7. So, this set contains two elements, which are 1 and 7. Therefore, it is not a null set.
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The set of rational expressions for π: π is an irrational number, which means it cannot be expressed as a ratio of two integers. Therefore, there are no rational expressions for π, making this set a null set.
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The set of subsets of the null set: The null set has only one subset, which is itself. Therefore, this set is not a null set.
So, the set of rational expressions for π is the null set.
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