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If U = {1, 2, 3, 4, 5}, A = {1, 2}, and B = {2, 3}, what is A ∪ B?

Practice Questions

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

Questions & Step-by-Step Solutions

If U = {1, 2, 3, 4, 5}, A = {1, 2}, and B = {2, 3}, what is A ∪ B?
  • Step 1: Identify the sets A and B. A = {1, 2} and B = {2, 3}.
  • Step 2: Write down all the elements in set A. The elements are 1 and 2.
  • Step 3: Write down all the elements in set B. The elements are 2 and 3.
  • Step 4: Combine all the elements from both sets A and B. This gives us {1, 2, 2, 3}.
  • Step 5: Remove any duplicates from the combined set. The duplicates are the number 2.
  • Step 6: The final set after removing duplicates is {1, 2, 3}.
  • Step 7: Therefore, A ∪ B = {1, 2, 3}.
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