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 $p$?
$p$ : There is a rational number $x \in S$ such that $x > 0$.
Which of the following statements is the negation of the statement $p$?
- AThere is a rational number $x \in S$ such that $x \leq 0$.
- BThere is no rational number $x \in S$ such that $x \leq 0$.
- CEvery 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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