 # Fill in the blanks in the following proof that for all sets A and B, ( A − B ) ∩ ( B − A ) = ∅ . Proof: Let A and B be any sets and suppose ( A − B ) ∩ ( B − A ) ≠ ∅ . That is, suppose there is an element x in (a) . By definition of (b) x ε A − B and x ε A − B and x ε . (c) Then by definition of set difference, x ε A and x ∉ B and x ∈ (d) and x ∉ (e) In particular x ∈ A and x ∉ (f) which is a contradiction. Hence [the supposition that ( A − B ) ∩ ( B − A ) ≠ ∅ is false, and so] (g) ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193 ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193

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Chapter 6.2, Problem 27ES
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