12. For an index set I and indexed families of sets (A || EI) and (B, |i E1). For each of the following statements, either prove it or find a counterexample. a. (nici A) U (nie B.) = (AUB) b. (nie A) U (B) = n(AUB) c. U (An B.) = (UA) n (Uier B₁). d. Uier (An B.) (UA) n (Uier Br).
12. For an index set I and indexed families of sets (A || EI) and (B, |i E1). For each of the following statements, either prove it or find a counterexample. a. (nici A) U (nie B.) = (AUB) b. (nie A) U (B) = n(AUB) c. U (An B.) = (UA) n (Uier B₁). d. Uier (An B.) (UA) n (Uier Br).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 30E
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