Prove that if A, B, and C are sets, then (A ∪ B) - C = (A - C) ∪ (B - C). (Don't forget to give a reason for each step)
Added by Juan C.
Step 1
This represents the set of all elements that are in either A or B, but not in C. So, let x be an arbitrary element in (A ∪ B) − C. This means that x is in either A or B, but not in C. Case 1: x is in A. In this case, we know that x is not in C (since it's in Show more…
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