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Let A be the set of all citizens of New York City. For a, b E A, define a ~ -b if and only if ● neither a nor b have a cell phone, or both a and b have cell phones in the same exchange (that is, the first three digits of each phone number are the same). Show that defines an equivalence relation on A and find the corresponding equivalence classes.

Let A be the set of all citizens of New York City. For a, b E A, define a ~ -b if and only if ● neither a nor b have a cell phone, or both a and b have cell phones in the same exchange (that is, the first three digits of each phone number are the same). Show that defines an equivalence relation on A and find the corresponding equivalence classes.

Advanced Engineering Mathematics
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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Let A be the set of all citizens of New York City. For a, b E A, define ab if and only if neither a nor b have a cell phone, or • both a and b have cell phones in the same exchange (that is, the first three digits of each phone number are the same). Show that defines an equivalence relation on A and find the corresponding equivalence classes.
Transcribed Image Text:Let A be the set of all citizens of New York City. For a, b E A, define ab if and only if neither a nor b have a cell phone, or • both a and b have cell phones in the same exchange (that is, the first three digits of each phone number are the same). Show that defines an equivalence relation on A and find the corresponding equivalence classes.
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