Question

Which of the following sets describes the intersection of set A and B? A = {1, 4, 5, 6} B = {3, 4, 6, 7, 8} {4, 6} {1, 2, 3} {1, 3, 4, 5, 6, 7, 8} {1, 3, 4, 4, 5, 6, 6, 7, 8}

Answer 1

The intersection of set A = {1, 4, 5, 6} and set B = {3, 4, 6, 7, 8} is the set {4, 6}, which includes only the elements common to both A and B.

Step-by-step explanation:

The intersection of two sets, A and B, includes all elements that are common to both sets. In this case, set A = {1, 4, 5, 6} and set B = {3, 4, 6, 7, 8}. To find the intersection, we look for common elements between the two sets. Both sets contain the numbers 4 and 6.

Therefore, the intersection of set A and B is {4, 6}. This matches the first option provided. It is important to understand that the intersection represents only those elements that appear in both sets, no additional elements from either set are included in the intersection.