Let A, B, and C be any three sets and consider the sentence: If A ∩ B = A ∩ C t
Question: (10 pts.) Let A, B, and C be any three sets and consider the sentence:
If A \(\cap \) B = A \(\cap \) C then B = C.
(a) 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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Solution: The solution file consists of 2 pages
Solution Format: Word Document![](/images/msword.png)
Solution Format: Word Document
![](/images/msword.png)