Let U = {1,2,3,4,5), A={1,2,5}, B = {1,4,5), and C= {1,2,3}. (a) Find A U (BUC). (b) Find (A U B) U C. (c) State a conjecture. Use the results in parts (a) and (b) to answer this part. (a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. AU (BUC) = { } (Use a comma to separate answers as needed.) OB. AU (BUC) = Ø (b) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. (AUB) UC= { } (Use a comma to separate answers as needed.) OB. (AUB) UC=Ø (c) Make a conjecture. O A. For any sets A, B, and C, AU (BUC) = (AUB) U C. O B. For any sets A, B, and C, (A U B) U C = Ø when AU (BU C) #Ø. Next

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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Let U = {1,2,3,4,5}, A = {1,2,5}, B = {1,4,5), and C = {1,2,3}.
(a) Find A U (BU C).
(b) Find (A U B) U C.
(c) State a conjecture. Use the results in parts (a) and (b) to answer this part.
(a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. AU (BUC) = {
B. AU (BUC) = Ø
(b) Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. (AUB) UC=
(Use a comma to separate answers as needed.)
B. (AUB) UC=0
(Use a comma to separate answers as needed.)
(c) Make a conjecture.
A. For any sets A, B, and C, A U (BU C) = (A U B) U C.
B.
any sets A, B, and C, (A U B) UC=Ø whe AU (BUC) Ø.
Next
Transcribed Image Text:Let U = {1,2,3,4,5}, A = {1,2,5}, B = {1,4,5), and C = {1,2,3}. (a) Find A U (BU C). (b) Find (A U B) U C. (c) State a conjecture. Use the results in parts (a) and (b) to answer this part. (a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. AU (BUC) = { B. AU (BUC) = Ø (b) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. (AUB) UC= (Use a comma to separate answers as needed.) B. (AUB) UC=0 (Use a comma to separate answers as needed.) (c) Make a conjecture. A. For any sets A, B, and C, A U (BU C) = (A U B) U C. B. any sets A, B, and C, (A U B) UC=Ø whe AU (BUC) Ø. Next
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