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What is the union of the sets {a, b} and {b, c}?

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Question: What is the union of the sets {a, b} and {b, c}?

Options:

  1. {a, b}
  2. {a, b, c}
  3. {b, c}
  4. {a, c}

Correct Answer: {a, b, c}

Solution: 

The union of two sets is the set of elements that are in either set. Here, {a, b} ∪ {b, c} = {a, b, c}.

What is the union of the sets {a, b} and {b, c}?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the union of the sets {a, b} and {b, c}?
  • Step 1: Identify the first set, which is {a, b}.
  • Step 2: Identify the second set, which is {b, c}.
  • Step 3: List all the unique elements from both sets.
  • Step 4: From the first set, we have 'a' and 'b'.
  • Step 5: From the second set, we have 'b' and 'c'.
  • Step 6: Combine the elements: 'a', 'b', and 'c'.
  • Step 7: Remove any duplicates. 'b' appears in both sets, so we only list it once.
  • Step 8: The final union of the sets is {a, b, c}.
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