00:01
So our problem asks us to determine the quadrants in which xy is located so that xy is greater than 0.
00:06
So the most important step in figuring out the answer is going to be determining what this equation is asking exactly.
00:14
So basically it's saying we want to know the coordinate points x, y, that are in the quadrants where if we multiply our x times our y, it's going to yield a positive number.
00:29
So going back to our rules of multiplication, we know that when we multiply two positive values, it's going to give us a positive number.
00:39
And if we multiply two negative values, it's also going to give us a positive number.
00:44
So we're going to approach this problem by basically just figuring out which quadrants are going to give us both positive x and positive y or a negative x and a negative y.
00:56
So we'll start here in quadrant one.
01:00
And here are our x -axis and y -axis.
01:04
This is our positive x, negative x, and here is our positive y, negative y.
01:12
So in quadrant one, all of our x values lie to the right of the y -axis, so all of our x values are going to be positive, and all of our y values are above the x -axis, so they also will always be positive.
01:27
So if we multiply positive by positive, what do we get? a positive...