(See Solution) Let A, B, and C be any three sets and consider the sentence: If A ∪ B = A ∪ C then B = C. Prove in detail that this statement is
Question: (14 pts.) Let A, B, and C be any three sets and consider the sentence:
If A \[\cup \] B = A \[\cup \] C then B = C.
- Prove in detail that this statement is false. (Hint. Give a counterexample)
(b)Write the converse of the above statement and show through an example that it is true (no proof necessary).
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