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If the universal set U = {1, 2, 3, 4, 5} and A = {1, 2}, what is A'?

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Question: If the universal set U = {1, 2, 3, 4, 5} and A = {1, 2}, what is A\'?

Options:

  1. {3, 4, 5}
  2. {1, 2}
  3. {1, 2, 3}
  4. {2, 3, 4, 5}

Correct Answer: {3, 4, 5}

Solution: 

The complement of A, denoted A\', includes all elements in U that are not in A. Thus, A\' = {3, 4, 5}.

If the universal set U = {1, 2, 3, 4, 5} and A = {1, 2}, what is A'?

Practice Questions

Q1
If the universal set U = {1, 2, 3, 4, 5} and A = {1, 2}, what is A'?
  1. {3, 4, 5}
  2. {1, 2}
  3. {1, 2, 3}
  4. {2, 3, 4, 5}

Questions & Step-by-Step Solutions

If the universal set U = {1, 2, 3, 4, 5} and A = {1, 2}, what is A'?
  • Step 1: Identify the universal set U, which is {1, 2, 3, 4, 5}.
  • Step 2: Identify the set A, which is {1, 2}.
  • Step 3: Determine the elements in U that are not in A.
  • Step 4: List the elements in U: 1, 2, 3, 4, 5.
  • Step 5: Remove the elements of A (1 and 2) from U.
  • Step 6: The remaining elements are 3, 4, and 5.
  • Step 7: Therefore, the complement of A, denoted A', is {3, 4, 5}.
  • Set Complement – The complement of a set A consists of all elements in the universal set U that are not in A.
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