Question: Let A, B, and C be sets. Show that: a. (A B C) (A B). b. (A B) C

Let A, B, and C be sets. Show that:
a. (A ∩ B ∩ C) ⊆ (A ∩ B).
b. (A − B) − C ⊆ A − C.
c. (A − C) ∩ (C − B) = ∅.

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To prove these settheoretic statements lets break them into parts and provide detailed stepbystep proofs for each part a A cap B cap C subseteq A cap ... View full answer

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