Use a direct proof to show that the product of two odd integers is odd.

The proof itself

Step-by-step explanation:

We can define the set of all even numbers as

This is, we can define all even numbers as the set of all the multiples of

As for the odd numbers, we can always take every even number and sum one to each one. This is

Note that (the set of all natural numbers adding the zero) so that for then

Now, given 2 odd numbers and we can write each one as follows:

And then if we multiply them with each other we obtain:

Then we have that is also an odd number as we defined them.

step-by-step explanation:

the equivalent expression are always the hardest ones but you look at the gcf also

step-by-step explanation: