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If set X = {a, b, c} and set Y = {b, c, d}, what is the union of sets X and Y?

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Question: If set X = {a, b, c} and set Y = {b, c, d}, what is the union of sets X and Y?

Options:

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

Correct Answer: {a, b, c, d}

Solution: 

The union of sets X and Y includes all unique elements from both sets. Thus, the union is {a, b, c, d}.

If set X = {a, b, c} and set Y = {b, c, d}, what is the union of sets X and Y?

Practice Questions

Q1
If set X = {a, b, c} and set Y = {b, c, d}, what is the union of sets X and Y?
  1. {a, b, c, d}
  2. {b, c}
  3. {a, b}
  4. {c, d}

Questions & Step-by-Step Solutions

If set X = {a, b, c} and set Y = {b, c, d}, what is the union of sets X and Y?
  • Step 1: Identify the elements in set X, which are {a, b, c}.
  • Step 2: Identify the elements in set Y, which are {b, c, d}.
  • Step 3: Combine all the elements from both sets, which gives us {a, b, c, b, c, d}.
  • Step 4: Remove any duplicate elements to get only unique elements. The duplicates here are 'b' and 'c'.
  • Step 5: The unique elements left are {a, b, c, d}.
  • Step 6: Therefore, the union of sets X and Y is {a, b, c, d}.
  • Set Theory – Understanding the union of sets, which combines all unique elements from both sets.
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