Consider the following set property: For all sets A and B, A B and B are disjoint. a

Chapter 6, Problem 44

(choose chapter or problem)

Consider the following set property: For all sets A, B, and C, \((A-B) \cup(B-C)=(A \cup B)-(B \cap C)\).

a. Use an element argument to derive the property.

b. Use an algebraic argument to derive the property (by applying properties from Theorem 6.2.2).

c. Comment on which method you found easier.

Text Transcription:

(A-B) cup(B-C)=(A cup B)-(B cap C)

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