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Which of the following is not an example of an empty set?Question 5AnswerThe set of even natural numbers divisible by 3P = {x : x is a prime number, 54 < x < 58}The set of odd natural numbers divisible by 2The set of all prime numbers divisible by 2

Question

Which of the following is not an example of an empty set?Question 5AnswerThe set of even natural numbers divisible by 3P = {x : x is a prime number, 54 < x < 58}The set of odd natural numbers divisible by 2The set of all prime numbers divisible by 2

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Solution

The set that is not an example of an empty set is "The set of even natural numbers divisible by 3". This is because there are indeed even natural numbers that are divisible by 3, such as 6, 12, 18, etc.

On the other hand, the other three sets are examples of empty sets:

  1. P = {x : x is a prime number, 54 < x < 58} - This is an empty set because there are no prime numbers between 54 and 58.

  2. The set of odd natural numbers divisible by 2 - This is an empty set because odd numbers cannot be divisible by 2.

  3. The set of all prime numbers divisible by 2 - This is an empty set because the only prime number divisible by 2 is 2 itself, and if we are looking for a set of multiple numbers, this set will be empty.

This problem has been solved

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