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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}?
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Practice Questions
1 question
Q1
Which of the following sets is not a subset of {x | x is a natural number}?
{1, 2}
{0}
{3, 4}
{5, 6}
Show Solution
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The set {0} is not a subset of the natural numbers, as natural numbers start from 1.
Questions & Step-by-step Solutions
1 item
Q
Q: Which of the following sets is not a subset of {x | x is a natural number}?
Solution:
The set {0} is not a subset of the natural numbers, as natural numbers start from 1.
Steps: 5
Show Steps
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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