00:03
The directions say to solve this inequality graphically, all right, and that means i'm going to graph both sides and see what happens.
00:11
See when is this inequality.
00:13
When is this going to be true? so the first one is a pretty simple thing to graph.
00:17
That is simply 2x plus 8.
00:19
So that is a linear function with a slope of 2 and a y intercept of 8.
00:25
Okay.
00:25
So i'm going to sketch that one here.
00:28
And, you know, we should be able to see that it's going to hit at negative 4 if we needed to.
00:33
So that would end up looking something like this if we were to actually sketch that.
00:39
There's just a linear function that looks like that.
00:41
A little bit harder to sketch these absolute value functions.
00:46
But one of the things that we notice out here is that it's a negative absolute value.
00:51
That means typically an absolute value should open up and be a positive v looks like that.
00:55
But because we have the negative outside, instead it's going to go like this.
00:59
All right, so it's going to open upside down.
01:01
Hopefully you know a little bit about your transformations and all where this is actually going to go.
01:08
We can see that this one has shifted where its vertex is...