Answer:
[tex]\large\boxed{(-1,\ -3)}[/tex]
Step-by-step explanation:
[tex]|a|=a\ \text{for}\ a\geq0\\\\|a|=-a\ \text{for}\ a<0\\\\\text{Examples}\\\\|3|=3,\ |1.6|=1.6\\|-3|=-(-3)=3,\ |-1.6|=1.6\\===================[/tex]
[tex]y<-|x|-1\\\\\text{Put the values of x and y from the coordinates of the points and check inequality}\\\\(-1,\ -3)\to x=-1,\ y=-3\\-3<-|-1|-1=-1-1=-1\qquad\text{CORRECT :)}\\\\(0,\ 0)\to\ x=0,\ y=0\\0<-|0|-1=-1\qquad\text{FALSE\ :(}\\\\(1,\ -1)\to x=1,\ y=-1\\-1<-|1|-1=-1-1=-2\qquad\text{FALSE\ :(}[/tex]
