Which of the following sets is not a subset of {x | x is a natural number}?

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Question: Which of the following sets is not a subset of {x | x is a natural number}?

Options:

Correct Answer: {0}

Solution:

The set {0} is not a subset of the natural numbers, as natural numbers start from 1.

Which of the following sets is not a subset of {x | x is a natural number}?

Which of the following sets is not a subset of {x | x is a natural number}?

Step 1: Understand what a natural number is. Natural numbers are the counting numbers starting from 1, like 1, 2, 3, and so on.
Step 2: Look at the set {x | x is a natural number}. This means all the natural numbers.
Step 3: Identify the set in question, which is {0}.
Step 4: Check if 0 is included in the natural numbers. Since natural numbers start from 1, 0 is not included.
Step 5: Conclude that the set {0} is not a subset of the natural numbers because it contains a number (0) that is not a natural number.

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