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.

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