Final answer:
An example of sets A and B that satisfy the given criteria with A ∩ B = {3, 5} and A ∪ B = {2, 3, 5, 7, 8} would be A = {2, 3, 5} and B = {3, 5, 7, 8}.
Step-by-step explanation:
In Mathematics, specifically in set theory, the intersection of two sets A and B, denoted by A ∩ B, is the set of elements that are common to both sets. The union of two sets A and B, denoted by A ∪ B, is the set of elements that are in either set A or set B or in both. Given that A ∩ B = {3, 5} and A ∪ B = {2, 3, 5, 7, 8}, an example of sets A and B would be A = {2, 3, 5} and B = {3, 5, 7, 8}. This example fits the criteria because the intersection contains only the numbers that are in both sets (3 and 5), and the union contains all the distinct numbers from both sets (2, 3, 5, 7, and 8).