00:01
Okay, for this problem, we're looking at some absolute value inequalities and we're solving them and then writing the answer in interval notation.
00:11
Okay, the first step is always to isolate the absolute value, which these, they all are.
00:20
So what you're going to do is, when it's less than or less than or equal to, it's going to be a combined inequality.
00:29
So what you're going to do is, you're going to put the negative 5 in front.
00:39
So negative 5 is less than, and take the x out of the absolute value bars, and then less than the positive 5.
00:50
So to write that in interval notation, since it does not include the point, you know, i know it doesn't include the point because it doesn't have the equal to part on it.
01:01
Let's look at this on a number line.
01:09
On a number line, it's going from negative 5 to positive 5, and it's everything between those, but not including the negative 5 and positive 5.
01:22
So to write that in interval notation, like i said, since the point is not included, you use a bracket, and that's where it starts, and positive 5 is where it stops.
01:35
Okay, so that's the answer to a.
01:39
For b, got to, it's taking me a little bit of room than i thought.
01:44
This is greater than.
01:46
When it's greater than, you're going to have two inequalities with the word or between it.
01:56
So like i said, the x is already, the absolute value is already isolated.
02:00
So i'm going to take it out twice, and when it's greater than, that's going to go on the right hand side, and then it's going to be less than negative 9.
02:13
So look what this looks like.
02:19
It's going to be less than negative 9, not including the point.
02:24
So it looks like this, or it's greater than positive 9, which looks like this...