What is the intersection of sets A = {10, 20, 30, 40, 50, 60} and B = {10, 40, 60}?

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Understanding Set Intersection

In mathematics, the intersection of two sets refers to the elements that are common to both sets. This is often denoted as A ∩ B.

Given Sets

  • Set A: {10, 20, 30, 40, 50, 60}
  • Set B: {10, 40, 60}

Finding the Intersection

To find the intersection of these two sets, we look for the elements that appear in both Set A and Set B.

  • Checking Set A: 10 (in B), 20 (not in B), 30 (not in B), 40 (in B), 50 (not in B), 60 (in B).
  • The common elements observed are: 10, 40, and 60.

Conclusion

Therefore, the intersection of sets A and B, denoted as A ∩ B, is:

{10, 40, 60}

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