A ∪ B: elements in A or B (or both).B ∪ C: elements in B or C (or both).A ∪ C: elements in A or C (or both).A ∪ (B ∪ C): collect all elements in A, B, or C.Mini-exampleIf A={1,2,3}, B={2,4}, C={3,5}→ A∪B={1,2,3,4}→ B∪C={2,3,4,5}→ A∪C={1,2,3,5}→ A∪(B∪C)={1,2,3,4,5}