prove the following using elemental style proof (A-B) ∩ (C-B) = (A ∩ C) -B (A-B) ∪ (A ∩ B) = A
Added by Deanna A.
Step 1
First, let's consider an element x in (A-B) ∩ (C-B). This means that x is in both (A-B) and (C-B). By the definition of set difference, x is in A but not in B, and x is in C but not in B. Therefore, x is in both A and C, but not in B. This implies that x is in (A Show more…
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