00:01
Okay, we're graphing the inequalities.
00:02
X plus y is less than or equal to zero.
00:08
And 3x, that and word is going to be important.
00:12
3x minus 6y is greater than or equal to 12.
00:17
So we'll take the easier of these two first, which is the x minus y is greater than zero.
00:23
So we'll start there.
00:25
We're going to go ahead and solve this for y.
00:27
So we'll get y as less than or equal to negative x.
00:32
We're going to go ahead and graph that in blue.
00:34
So we've got a solid boundary line passing through the origin with a slope of negative 1.
00:41
So this is y equals negative x.
00:44
We're shading everything where y is less than this line.
00:48
So everything under this line.
00:51
That would be the solution for our first inequality.
00:55
The second one we'll do in red.
00:56
We need to solve this for y.
00:58
So we'll subtract 3x from both sides...