Final answer:
To find (A∩B)∪C, first find the intersection of sets A and B, then find the union of the intersection and set C. The result is {1, 6, -2, 9, 12}.
Step-by-step explanation:
To find (A∩B)∪C, we first need to find the intersection of sets A and B. The intersection of two sets is the set of elements that are common to both sets. So A∩B = {1, 6}. Next, we need to find the union of A∩B and set C. The union of two sets is the set of all elements that are in either set. So (A∩B)∪C = {1, 6, -2, 9, 12}.