9 Consider the peculiar case of Catherine who hates to commute. Her preference over locations is based on their proximity to each other. In particular, • x ∼ y if the distance between x and y is no more than 5 miles. • x % y if the distance between them is more than 5 miles but x is at least as close to campus as y. (a) Are her preferences complete? Explain 1 (b) Are her preferences transitive? Explain

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.4: Two-ways Tables
Problem 26E
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9 Consider the peculiar case of Catherine who hates to commute. Her preference over locations is based on their proximity to each other. In particular, • x ∼ y if the distance between x and y is no more than 5 miles. • x % y if the distance between them is more than 5 miles but x is at least as close to campus as y. (a) Are her preferences complete? Explain 1 (b) Are her preferences transitive? Explain
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