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If set A contains the elements {1, 2, 3, 4} and set B contains the elements {3,

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Question: If set A contains the elements {1, 2, 3, 4} and set B contains the elements {3, 4, 5, 6}, what is the intersection of sets A and B?

Options:

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

Correct Answer: {3, 4}

Solution: 

The intersection of sets A and B is the set of elements that are common to both sets. Therefore, the intersection is {3, 4}.

If set A contains the elements {1, 2, 3, 4} and set B contains the elements {3,

Practice Questions

Q1
If set A contains the elements {1, 2, 3, 4} and set B contains the elements {3, 4, 5, 6}, what is the intersection of sets A and B?
  1. {1, 2}
  2. {3, 4}
  3. {5, 6}
  4. {1, 2, 3, 4, 5, 6}

Questions & Step-by-Step Solutions

If set A contains the elements {1, 2, 3, 4} and set B contains the elements {3, 4, 5, 6}, what is the intersection of sets A and B?
  • Step 1: Identify the elements in set A. Set A contains {1, 2, 3, 4}.
  • Step 2: Identify the elements in set B. Set B contains {3, 4, 5, 6}.
  • Step 3: Look for elements that are present in both set A and set B.
  • Step 4: Compare the elements: 1 is not in B, 2 is not in B, 3 is in both A and B, 4 is in both A and B.
  • Step 5: The common elements found are 3 and 4.
  • Step 6: Write down the common elements as a new set. The intersection of sets A and B is {3, 4}.
  • Set Theory – Understanding the intersection of two sets, which includes elements that are present in both sets.
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