If A = {1, 2, 3} and B = {2, 3, 4}, what does A n B equal?

To determine the intersection of two sets, A and B, you need to identify the elements that are common to both sets. In this case, set A includes the elements {1, 2, 3}, and set B includes the elements {2, 3, 4}.

The intersection, denoted as A n B, consists of the elements found in both A and B. Examining the elements:

• The number 1 is in set A but not in set B.

• The number 2 is in both sets.

• The number 3 is also in both sets.

• The number 4 is in set B but not in set A.

Thus, the common elements between the two sets are 2 and 3. Therefore, the intersection A n B is {2, 3}. This confirms that option B is indeed the correct representation of the intersection of sets A and B.