Choose the main technique to prove the following statement.
If nnn is even, then 5n2+6n+75n2+6n+75n^2+6n+7 is odd.

Question

Choose the main technique to prove the following statement. If  n n n  is even, then  5 n 2 + 6 n + 7 5 n 2 + 6 n + 7 5n^2+6n+7  is odd.

Answer

T3: indirect proof by contradiction to show  p ≡ T p ≡ T p \equiv T

Answer

T1: direct proof to show  p → q ≡ T p → q ≡ T p 	o q \equiv T

Answer

T2: indirect proof by contraposition to show  p → q ≡ T p → q ≡ T p 	o q \equiv T

Answer

T4: two-step proof to show  p ↔ q ≡ T p ↔ q ≡ T p \leftrightarrow q \equiv T

Crowdly