Discrete Mathematics

Find a counterexample to show that the statement is false. Assume all sets are subsets of a universal set U = {1, 2, 3, 4, 5}. (Enter your answers for A, B, and C in roster notation as a comma-separated list of sets. Enter EMPTY or ∅ for the empty set.)

For all sets A, B, and C,

A ∪ (B − C) = (A ∪ B) − (A ∪ C).

A, B, C =?

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