Show that the set of even whole numbers, E, is equivalent to the set of odd whole numbers, O, by carefully describing a one-to-one correspondence between the sets

Question

Mathematics

Leland

24 October, 11:20

Show that the set of even whole numbers, E, is equivalent to the set of odd whole numbers, O, by carefully describing a one-to-one correspondence between the sets

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Answers (1)

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Danika Mitchell · Answer 1

E and O are equivalents.

Step-by-step explanation:

We will define the one-to-one correspondence this way

E O

0 1

2 3

4 5

6 7

8 9

...

2n 2n - 1

This way, every 2n even number will have its correspondence with a 2n-1 odd number.