Question

Prove that Z ×{ 0 , 1 , 2 , 3 } is countably infinite by...

Prove that

Z

×{

0

,

1

,

2

,

3

}

is countably infinite by finding a bijection

f

:

Z

→

Z

×{

0

,

1

,

2

,

3

}

. (

Hint:

Consider the

division algorithm

Math   Advanced-Math   
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