Match each statement on the left with the most appropriate approach for a

proof that it is true or false.

$(n$ is an integer and $n^{****}3+5$ is odd

$n$ is even

The sum of two odd integers is

even.

The product of two irrational

numbers is irrational.

The sum of two even integers is

even.

The square root of $3$ is irrational.

If $n$ is an integer and $3n+2$ is odd,

then $n$ is odd.

If $a^{****}2$ is even, then a is even.