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Derive the Following Result  For all sets B and C,(BC)B=\text { For all sets } B \text { and } C , ( B - C ) - B = \emptyset \text {. }

Question 8

Essay

Derive the following result. You may do so either "algebraically" using the properties listed in
Theorem 6.2.2, being sure to give a reason for every step, or you may use the element method
for proving a set equals the empty set.  For all sets B and C,(BC)B=\text { For all sets } B \text { and } C , ( B - C ) - B = \emptyset \text {. }

Correct Answer:

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Element Proof: Suppose the given stateme...

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