Question

Let p be "n is greater than 2 and even" and q be "n is not prime." Represent the statement "If n is greater than 2 and even, then n is not a prime" in symbolic form.Select the correct answer below:∼p⟹∼qp⟹qp⟹∼q∼p⟹q

Answer 1

From the question;

We have the statements

$P\text{ = n is greater than 2 and even}$

and

$q=\text{ n is not prime}$

we are to represent in stmbolic form

The statement

$\text{If n is greater than 2 and even, then n is not a prime}$

From this statement

P and q are true statements

hence we can say

$\text{If p then q}$

Therefore

$p\text{ implies q}$

Hence in symbolic form we have

$p\Rightarrow q$