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).

Price: $2.99
Solution: The solution file consists of 2 pages
Solution Format: Word Document

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