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If A = {x | x is a natural number less than 5} and B = {x | x is a natural numbe

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Question: If A = {x | x is a natural number less than 5} and B = {x | x is a natural number less than 3}, what is A - B?

Options:

  1. {1, 2}
  2. {3, 4}
  3. {1, 2, 3, 4}
  4. {2, 3, 4}

Correct Answer: {3, 4}

Solution: 

Set A = {1, 2, 3, 4} and set B = {1, 2}. Thus, A - B = {3, 4}.

If A = {x | x is a natural number less than 5} and B = {x | x is a natural numbe

Practice Questions

Q1
If A = {x | x is a natural number less than 5} and B = {x | x is a natural number less than 3}, what is A - B?
  1. {1, 2}
  2. {3, 4}
  3. {1, 2, 3, 4}
  4. {2, 3, 4}

Questions & Step-by-Step Solutions

If A = {x | x is a natural number less than 5} and B = {x | x is a natural number less than 3}, what is A - B?
  • Step 1: Identify the natural numbers less than 5. These are 1, 2, 3, and 4. So, set A = {1, 2, 3, 4}.
  • Step 2: Identify the natural numbers less than 3. These are 1 and 2. So, set B = {1, 2}.
  • Step 3: To find A - B, we need to remove the elements of set B from set A.
  • Step 4: Remove 1 and 2 from set A. The remaining elements are 3 and 4.
  • Step 5: Therefore, A - B = {3, 4}.
  • Set Theory – Understanding the operations on sets, specifically the difference between two sets.
  • Natural Numbers – Recognizing and defining natural numbers and their properties.
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