1. Let A, B, and D be sets. Determine whether the following conjecture is true or false. If false, give a counterexample suggested by a Venn diagram. If true, provide a proof. (i) (ii) (A-D) U (BD) ≤ (AUB) - D (AUB) - D≤ (A - D) U (B - D)

Calculus For The Life Sciences
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Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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1. Let A, B, and D be sets. Determine whether the following conjecture is true or false. If false,
give a counterexample suggested by a Venn diagram. If true, provide a proof.
(i)
(ii)
(A - D) U (BD) ≤ (AUB) - D
(AUB) - D≤ (A - D) U (B - D)
Transcribed Image Text:1. Let A, B, and D be sets. Determine whether the following conjecture is true or false. If false, give a counterexample suggested by a Venn diagram. If true, provide a proof. (i) (ii) (A - D) U (BD) ≤ (AUB) - D (AUB) - D≤ (A - D) U (B - D)
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