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  3. (1) in each part, decide whether or not the descri

(1) In each part, decide whether or not the described relation is an equivalence relation. Explain your...

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Question

Advance Math

(1) In each part, decide whether or not the described relationis an equivalence relation.

Explain your answers.

(a)

A

is the set of all residents of the United States. Therelation

?

on

A

given by:

x

?

y

if

x, y

are in the same state at noon on November 3rd.

(b)

U

is the set of all undergraduates at the University of Oregon.The relation

?

on

U

given by:

x

?

y

if

x, y

are in a class together.

(c)

P

is the set of all people on Earth. The relation

?

on

P

given by:

x

?

y

if

x

and

y

have birthdays on the same day.

(d)

P

is the set of all people on Earth. The relation

?

on

P

given by:

x

?

y

if

x

and

y

have birthdays on the same day of June.

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