By giving a counter-example, show that the statement is false : p : If n is an odd positive integer, then n is prime.

Question

Philoid · Accepted Answer

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.

∴ The given statement p is false.

By giving a counter-example, show that the statement is false :p : If n is an odd positive integer, then n is prime.

By giving a counter-example, show that the statement is false :
p : If n is an odd positive integer, then n is prime.