Exercise 1.2.3. Decide which of the following represent true statements about the nature of sets. For any that are false, provide a specific example where the statement in question does not hold. (a) If A₁ 2 A2 2 A3 2 A4... are all sets containing an infinite number of elements, then the intersection 1 An is infinite as well. (b) If A₁ 2 A2 2 A3 2 A4 are all finite, nonempty sets of real numbers, then the intersection 1 An is finite and nonempty. (c) An (BUC) = (ANB) UC. (d) An (BNC) = (ANB)nc. (e) An (BUC) = (ANB) u (ANC).

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