In a reader survey conducted by USA Today†, readers were asked to name the best U.S. city for Italian restaurants. The results follow. City New York Chicago Boston Las Vegas San Francisco Respondents (%) 55 16 15 7 7 Let A denote the set of cities that were voted the best by more than 10% of the respondents, let B be the set of cities that were voted the best by between 10% and 20% of the respondents, and let C denote the set of cities that were voted the best by fewer than 10% of the respondents. Find the following sets. (Let N represent New York, H represent Chicago, T represent Boston, L represent Las Vegas, and S represent San Francisco. Enter your answers using roster notation. Enter EMPTY or ∅ for the empty set.) (a) A, B, and C A = B = C = (b) A ∪ B (c) A ∩ B
In a reader survey conducted by USA Today†, readers were asked to name the best U.S. city for Italian restaurants. The results follow. City New York Chicago Boston Las Vegas San Francisco Respondents (%) 55 16 15 7 7 Let A denote the set of cities that were voted the best by more than 10% of the respondents, let B be the set of cities that were voted the best by between 10% and 20% of the respondents, and let C denote the set of cities that were voted the best by fewer than 10% of the respondents. Find the following sets. (Let N represent New York, H represent Chicago, T represent Boston, L represent Las Vegas, and S represent San Francisco. Enter your answers using roster notation. Enter EMPTY or ∅ for the empty set.) (a) A, B, and C A = B = C = (b) A ∪ B (c) A ∩ B
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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In a reader survey conducted by USA Today†, readers were asked to name the best U.S. city for Italian restaurants. The results follow.
| City | New York |
Chicago | Boston | Las Vegas |
San Francisco |
|---|---|---|---|---|---|
| Respondents (%) | 55 | 16 | 15 | 7 | 7 |
Let A denote the set of cities that were voted the best by more than 10% of the respondents, let B be the set of cities that were voted the best by between 10% and 20% of the respondents, and let C denote the set of cities that were voted the best by fewer than 10% of the respondents. Find the following sets. (Let N represent New York, H represent Chicago, T represent Boston, L represent Las Vegas, and S represent San Francisco. Enter your answers using roster notation. Enter EMPTY or ∅ for the empty set.)
(a)
A, B, and C
A
=
B
=
C
=
(b)
A ∪ B
(c)
A ∩ B
(d)
AC ∩ B
(e)
A ∩ BC
(f)
(A ∪ B)C
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