Let $$S$$ be a non-empty subset of $$R$$. 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 no rational number $$x \in S$$ such that $$x \le 0$$

B

Every rational number $$x \in S$$ satisfies $$x \le 0$$

C

$$x \in S$$ and $$x \le 0 \Rightarrow x$$ is not rational

D

There is a rational number $$x \in S$$ such that $$x \le 0$$