Let $S$ be a non-empty subset of $R$. Consider the statement $p : x \in S$ is a rational number such that $x > 0$. Which of the following is the negation of $p$?

• A
  $x \in S$ is a rational number such that $x \leq 0$.
• B
  $x \in S$ is not a rational number such that $x \leq 0$.
• C
  Every rational number $x \in S$ satisfies $x \leq 0$.
• D
  $x \in S$ and $x \leq 0 \Rightarrow x$ is not a rational number.