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2. Prove: For all sets A, B, and C, if ? ⊆ ? and ? ∩ ? = ∅, then ? ∩ ? = ∅. 3. Prove (if true) or give a counterexample (if false): For all sets A, B, and C, ? ∪ (? − ?) = (? ∪ ?) − (? ∪ ?)

2. Prove: For all sets A, B, and C, if ? ⊆ ? and ? ∩ ? = ∅, then ? ∩ ? = ∅.3. Prove (if true) or

give a counterexample (if false): For all sets A, B, and C,

? ∪ (? − ?) = (? ∪ ?) − (? ∪ ?)

 
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