Question

In: Advanced Math

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

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

Explain your answers.

(a)

A

is the set of all residents of the United States. The relation

∼

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.

Solutions

Expert Solution

All doubts are welcome.

Thank You !

Colby Messinger answered 2 years ago
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