Which of the following sets is an example of a null set? A) The set of odd natural numbers divisible by 2 B) The set of even prime numbers C) The set of points common to any two pa... Which of the following sets is an example of a null set? A) The set of odd natural numbers divisible by 2 B) The set of even prime numbers C) The set of points common to any two parallel lines D) { x : x is a natural number, x < 5 and x > 7 }
Understand the Problem
The question is asking to identify which of the provided options represents an example of a null set, defined as a set that contains no elements. We will analyze each option to determine its validity as a null set.
Answer
The set of odd natural numbers divisible by 2.
The set of odd natural numbers divisible by 2 is a null set.
Answer for screen readers
The set of odd natural numbers divisible by 2 is a null set.
More Information
A null set is an empty set with no elements. The statement 'odd natural numbers divisible by 2' is impossible because no odd number can be evenly divided by 2.
Tips
A common mistake is to assume a hypothetical set has elements without verifying its condition. Always check if a condition is possible.
Sources
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