00:01
For this problem, we're asked to write the inequality that's represented by this graph.
00:07
And we're given the equation of the boundary line.
00:09
So the line is y equals 3x minus 4.
00:13
So what we need to do here is take a point.
00:18
We can pick any point that is in the shaded region.
00:22
So just to keep it simple, i'm just going to pick this point, which is the ordered pair to zero.
00:31
Write that here, two, zero.
00:37
So that's the point that we're going to use to test and see what symbol we need.
00:41
So the two is going to be the x and the zero is the y.
00:45
So we're going to plug those in to our original equation for the boundary line.
00:52
So when we do that, the y is zero.
00:56
And then we have three times x is two minus four.
01:05
So when we simplify this, three times two is six.
01:08
Minus 4 and that gives us 2...