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 $P$?

1. A
   There is no rational number $x\in S$ such that $x\le 0$
2. B
   Every rational number $x\in S$ satisfies $x\le 0$
3. C
   $x\in S$ and $x\le 0⟹x$ is not rational
4. D
   There is a rational number $x\in S$ such that $x\le 0$