For an index set I and indexed families of sets {Ai | i ∈ I } and {Bi | i ∈ I }. For each of the following statements, either prove it or find a counterexample. (∩i∈I Ai ) ∪ (∩i∈I Bi ) = ∩i∈I (Ai ∪ Bi ) (∩i∈I Ai ) ∪ (∩i∈I Bi) ⊆ ∩i∈I (Ai ∪ Bi ) ∪i∈I (Ai ∩ Bi ) = (∪i∈I Ai ) ∩ (∪i∈I Bi )

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A: Introduction :

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