Find the corresponding equivalence classes

Reference no: EM131168856

Let A be the set of all citizens of New York City. For a, b ∈ A, define a ~ b if and only if

(a) neither a nor b have a cell phone, or

(b) 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.

Reference no: EM131168856

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