Question:

In this problem you will complete the details of an indirect

Last updated: 10/28/2023

In this problem you will complete the details of an indirect

In this problem you will complete the details of an indirect proof Fill in the blanks below Each blank should be filled with a polynomial in the variable k Prove Let n be an integer If n 17 is even then n is odd Proof Suppose that n 17 is even Assume for the sake of contradiction that n is even By definition n 2k for some integer k So n 17 2k 17 2m 1 where m Since Z is closed under addition and multiplication m e Z Since n 17 2m 1 this means that n 17 is odd However this contradicts the fact that n 17 is even Therefore n must be odd