Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1. Write a complete proof of the statement \"For all integers n, if 7n + 5 is od

ID: 3119844 • Letter: 1

Question

1. Write a complete proof of the statement "For all integers n, if 7n + 5 is odd then n is odd" using either the strategy of Proof by Contradiction or the strategy of Proof by Contraposition. Clearly identify which strategy you are using at the beginning of your proof. 1. Write a complete proof of the statement "For all integers n, if 7n + 5 is odd then n is odd" using either the strategy of Proof by Contradiction or the strategy of Proof by Contraposition. Clearly identify which strategy you are using at the beginning of your proof.

Explanation / Answer

if 7n+5 is odd then n is odd

this statement is not true

contradiction is

for n=2 ,7n+5=14+5=19 is odd but n=2 is not odd