Question

prove that the product of two odd numbers is odd

Answer 1

Consider the sum a + b = (2n + 1) + (2m +1) = 2n + 2m +2 = 2k, where k = n + m + 1 is an integer. Therefore bydefinition of even we have shown that a + b is even and my hypothesis is true. 5) The product of two odd integers is odd. Proof: Let n and m be two odd integers.


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Answer 2

Consider the sum a + b = (2n + 1) + (2m +1) = 2n + 2m +2 = 2k, where k = n + m + 1 is an integer. Therefore bydefinition of even we have shown that a + b is even and my hypothesis is true. 5) The product of two odd integers is odd. Proof: Let n and m be two odd integers.

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