If $xy<0$ then $x<0$ and $y<0$.

If $x<-5$ and $x<-2,$ then $x\in (-\infty ,-5)$.

If $x<-5$ and $x>2,$ then $x\in (-5,2)$

If $x>-2$ and $x<9,$ then $x\in (-2,9)$

If $\left|x\right|>5,$ then $x\in (-\infty ,-5)\cup [5,\infty )$

If $\left|x\right|\le 4,$ then $x\in [-4,4]$.

Graph of $x<3$ is

Graph is $x\ge 0$ is

Graph of $y\le 0$ is