By giving a counterexample,show that the following statement is false: "If $n$ is an odd integer,then $n$ is prime."

(N/A) The given statement is in the form "If $p$,then $q$". To show that this statement is false,we need to find a counterexample where $p$ is true but $q$ is false.
Here,$p$ is "$n$ is an odd integer" and $q$ is "$n$ is prime".
We look for an odd integer $n$ that is not a prime number.
Consider $n = 9$.
$9$ is an odd integer,so $p$ is true.
However,$9$ is a composite number $(9 = 3 \times 3)$,so $q$ is false.
Since we found an odd integer that is not prime,the original statement is false.