Question:
By giving a counter-example, show that the statement is false :
p : If n is an odd positive integer, then n is prime.
Solution:
Let us take a odd positive integer n = +9
Even though $(+9)$ is an odd positive integer, It is divisible by 3 .
To be a prime number, a number must only have itself and 1 as its factors. Since 9 has 3 as its factor too, it is not a prime number in spite of being an odd positive integer.
$\therefore$ The given statement $p$ is false.