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A union is both sets together, excluding duplicates. So given the sets [1, 2, 3, 4, 5] and [5, 6, 7], the union of them together would be [1, 2, 3, 4, 5, 6, 7]. The intersection is just what the sets have in common, so in those two sets the intersection would be [5], because that is the only thing that they have in common.

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