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What is the union of the sets {1, 2} and {2, 3}?

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Question: What is the union of the sets {1, 2} and {2, 3}?

Options:

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

Correct Answer: {1, 2, 3}

Solution: 

The union of two sets includes all elements from both sets without duplicates. Thus, {1, 2} ∪ {2, 3} = {1, 2, 3}.

What is the union of the sets {1, 2} and {2, 3}?

Practice Questions

Q1
What is the union of the sets {1, 2} and {2, 3}?
  1. {1, 2}
  2. {1, 2, 3}
  3. {2, 3}
  4. {1, 2, 2, 3}

Questions & Step-by-Step Solutions

What is the union of the sets {1, 2} and {2, 3}?
  • Step 1: Identify the first set, which is {1, 2}.
  • Step 2: Identify the second set, which is {2, 3}.
  • Step 3: Combine all the elements from both sets.
  • Step 4: List the elements: 1 from the first set, 2 from both sets, and 3 from the second set.
  • Step 5: Remove any duplicates. The number 2 appears in both sets, so we only keep it once.
  • Step 6: Write down the final combined set, which is {1, 2, 3}.
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