Ok guys, my apologies. I did more research on this problem set and this is exactly what is given.
Is the set S = {P=(x,y): |y| > 0} open or not?
{P=(x,y): |y| > 0} = {P=(x,y): (y > 0) or (y <0)} = {P=(x,y):y ≠ 0}
I need to show whether this is a open set or not?
Hope this iis more...