00:01
On a coordinate plane, we have a straight line that has a negative slope and goes through the point 02 and 4 .0.
00:11
And it's actually given the solution of a linear inequality, and you have the linear inequality written here, it's y is less than negative 1 .5x plus 2.
00:24
And we're asked which of those equations would fulfill that.
00:30
And you could graph this on a coordinate plane.
00:34
And if we do that, we would begin at positive 2.
00:41
We would begin at positive 2 on your y -axis.
00:47
And from there, because your slope is negative, you're going to go down 1 over 2.
00:59
So down one over two, down one over two, down one over two.
01:05
And this is not perfect, but it doesn't really need to be for the sake of our problem.
01:10
So if this is our line, the points that you have here, i'm going to list them.
01:17
So 2, 3, 2, 1, 3, negative 2, and negative 1, 3.
01:26
If you were to plot those points on your coordinate plane, you'll see pretty quickly where they're not going to be solutions.
01:32
So 2 -3, over 2, up 3.
01:36
That's not going to fall below your line.
01:38
Remember, anything that falls below your line is a potential solution...