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If A = {1, 2, 3, 4} and B = {2, 4, 6, 8}, what is A ∪ B?

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Question: If A = {1, 2, 3, 4} and B = {2, 4, 6, 8}, what is A ∪ B?

Options:

  1. {1, 2, 3, 4, 6, 8}
  2. {2, 4}
  3. {1, 3, 5, 7}
  4. {1, 2, 3, 4, 5}

Correct Answer: {1, 2, 3, 4, 6, 8}

Solution: 

The union A ∪ B includes all elements from both sets, which are {1, 2, 3, 4, 6, 8}.

If A = {1, 2, 3, 4} and B = {2, 4, 6, 8}, what is A ∪ B?

Practice Questions

Q1
If A = {1, 2, 3, 4} and B = {2, 4, 6, 8}, what is A ∪ B?
  1. {1, 2, 3, 4, 6, 8}
  2. {2, 4}
  3. {1, 3, 5, 7}
  4. {1, 2, 3, 4, 5}

Questions & Step-by-Step Solutions

If A = {1, 2, 3, 4} and B = {2, 4, 6, 8}, what is A ∪ B?
  • Step 1: Identify the elements in set A, which are {1, 2, 3, 4}.
  • Step 2: Identify the elements in set B, which are {2, 4, 6, 8}.
  • Step 3: Combine all unique elements from both sets A and B.
  • Step 4: List the elements from set A: 1, 2, 3, 4.
  • Step 5: List the elements from set B: 2, 4, 6, 8.
  • Step 6: Combine the lists, making sure to include each element only once.
  • Step 7: The combined list of unique elements is {1, 2, 3, 4, 6, 8}.
  • Step 8: Therefore, A ∪ B = {1, 2, 3, 4, 6, 8}.
  • Set Union – The union of two sets includes all unique elements from both sets.
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