00:01
So in this problem, we want to graph the system of inequalities.
00:03
So the first thing we need to do is put both of these in slope intercept form, meaning we have to isolate y.
00:09
So first, we're going to subtract x from both sides of our inequality.
00:12
So have negative 3y greater than or equal to negative negative.
00:16
Don't forget, there's an imagine every one in front of that x.
00:19
Then we're going to divide each term by negative 3.
00:22
Don't forget, when you divide an inequality by a negative, we have to switch to an inequality sign.
00:27
So it'll be less than or equal to.
00:28
Well, negative 1x divided by negative 3 is positive 1 3x, and negative 6 divided by negative 3 is positive 2.
00:36
So now, why don't we go graph this? well, we have a y intercept of 2, so we'll go up 2 units, and then our slope is 1 3 3.
00:43
So we'll go up 1 unit and write 3 units.
00:46
So now we can do this a couple of times in both directions.
00:50
So now that we have a couple of points, we can go ahead and graph it.
00:55
Now, for our second inequality, we also have to get y by itself.
00:58
So to do this, i'll subtract 2x from both sides of our quality.
01:02
So y will be less than they're equal to negative 2x plus 6.
01:06
Oh, well, that's already in slope intercept form.
01:09
So in this case, we have a y intercept of positive 6, and our slope is negative 2 over 1...