Prove that the set of all odd positive integers is countable.

Mathematics

1 answer:

zloy xaker [14]3 years ago

5 0

Answer:

See below.

Step-by-step explanation:

The set of all positive integers N is countable so we need to show that there is a 1 to 1 correspondence between the elements in N with the set of all odd positive integers. This is the case as shown below:

1 2 3 4 5 6 ...

| | | | | | ....

1 3 5 7 9 11....

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