Final answer:
In summary, the operations result in A union B is {1,2,3,4,5,7,9}, A intersect C is an empty set, and A union (B complement intersect C) is {1,2,3,4,5,6,8,10}.
Step-by-step explanation:
When solving problems involving set operations such as union and intersection, we use the provided sets to calculate the result. For the given sets A={1,2,3,4,5}, B={1,3,5,7,9}, and C={6,7,8,9,10}:
A ∪ B (A union B) includes all unique elements that are in either A or B, or in both. Thus, A ∪ B = {1,2,3,4,5,7,9}.
A ∩ C c (A intersect Cc) includes only elements that are both in A and in C. A ∩ C c = { 1,2,3,4,5} .
A ∪ (Bc ∩ C), we first find the complement of B relative to the universal set U (which is {numbers from 0-10}), resulting in Bc = {0,2,4,6,8,10}. Next, we find the intersection of Bc and C, which is Bc ∩ C = {6,8,10}. Finally, we take the union of set A with this result: A ∪ (Bc ∩ C) = {1,2,3,4,5,6,8,10}.