In which quadrant is P(x,y) located if xy < 0 and x + y < 0?

MY WORK:

For xy > 0, I figured that for this to be true, both x and y must be positive values.

In other words, x and y cannot be 0 and negative.

For x + y < 0, one of the variables must be bigger than the other and negative.

I don't know where to go with this question in order to find the quadrant.