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

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Question: If 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. {}

Correct Answer: {3, 4, 5}

Solution: 

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

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

Practice Questions

Q1
If 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. {}

Questions & Step-by-Step Solutions

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