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

• A
  There is a rational number $x \in S$ such that $x \leq 0$.
• B
  There is no rational number $x \in S$ 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.