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

Practice Questions

Q1
Which of the following sets is not a subset of {x | x is a natural number}?
  1. {1, 2}
  2. {0}
  3. {3, 4}
  4. {5, 6}

Questions & Step-by-Step Solutions

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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