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If A = {2, 4, 6} and B = {1, 2, 3}, what is A ∩ B?

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Question: If A = {2, 4, 6} and B = {1, 2, 3}, what is A ∩ B?

Options:

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

Correct Answer: {2}

Solution: 

The intersection A ∩ B includes elements that are in both A and B. Here, A ∩ B = {2}.

If A = {2, 4, 6} and B = {1, 2, 3}, what is A ∩ B?

Practice Questions

Q1
If A = {2, 4, 6} and B = {1, 2, 3}, what is A ∩ B?
  1. {2}
  2. {4, 6}
  3. {1, 2, 3}
  4. {}

Questions & Step-by-Step Solutions

If A = {2, 4, 6} and B = {1, 2, 3}, what is A ∩ B?
  • Step 1: Identify the elements in set A. A = {2, 4, 6}.
  • Step 2: Identify the elements in set B. B = {1, 2, 3}.
  • Step 3: Look for elements that are common in both sets A and B.
  • Step 4: Check each element in A: 2 is in B, 4 is not in B, and 6 is not in B.
  • Step 5: The only common element found is 2.
  • Step 6: Write the intersection of A and B as A ∩ B = {2}.
  • Set Intersection – The intersection of two sets includes only the elements that are present in both sets.
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