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If set P = {1, 2, 3, 4} and set Q = {3, 4, 5, 6}, what is the difference P - Q?

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Question: If set P = {1, 2, 3, 4} and set Q = {3, 4, 5, 6}, what is the difference P - Q?

Options:

  1. {1, 2}
  2. {3, 4}
  3. {5, 6}
  4. {1, 2, 5, 6}

Correct Answer: {1, 2}

Solution: 

The difference P - Q includes elements in P that are not in Q, which is {1, 2}.

If set P = {1, 2, 3, 4} and set Q = {3, 4, 5, 6}, what is the difference P - Q?

Practice Questions

Q1
If set P = {1, 2, 3, 4} and set Q = {3, 4, 5, 6}, what is the difference P - Q?
  1. {1, 2}
  2. {3, 4}
  3. {5, 6}
  4. {1, 2, 5, 6}

Questions & Step-by-Step Solutions

If set P = {1, 2, 3, 4} and set Q = {3, 4, 5, 6}, what is the difference P - Q?
  • Step 1: Identify the elements in set P, which are {1, 2, 3, 4}.
  • Step 2: Identify the elements in set Q, which are {3, 4, 5, 6}.
  • Step 3: Look for elements that are in set P but not in set Q.
  • Step 4: Check each element in set P: 1 is not in Q, 2 is not in Q, 3 is in Q, and 4 is in Q.
  • Step 5: Collect the elements from P that are not in Q, which are {1, 2}.
  • Step 6: Conclude that the difference P - Q is {1, 2}.
  • Set Difference – The operation that results in elements that are in set P but not in set Q.
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