Let P(2, 0) and Q(0, 2) be two points and O be the origin. If A(x, y) is a point such that xy > 0 and x + y < 2, then

Since xy > 0, therefore the point A lies either in the first quadrant or in the third quadrant. Since x + y < 2, therefore the point A lies either inside the ∆OPQ or in the third quadrant.