00:01
Okay, so we're going to solve this inequality.
00:05
We have x minus 5 is less than negative 10, or x minus 5 is greater than 10.
00:12
So we're going to solve these just like they were equal signs to begin with.
00:18
Well, we're not going to have to go much farther than that.
00:21
So if i wanted to get my x by itself, and this was an equals, i would just add 5 to both sides of the equal sign.
00:28
Well, guess what? we can do that here, even though there.
00:32
Inequalities okay and so now this one's going to become x is less than negative 5 or x is greater than 15 so if you were to look at this on a number line i'm just going to make a quick one here negative 5 15 line up here then we'd have an open circle here because it's not equal to it goes all the way to negative 5, but it doesn't go past it and doesn't include it, and then 15 and anything bigger.
01:17
It does not include 15.
01:19
That's why it has an open circle.
01:22
So this is the picture, and sometimes when you're writing the answer in interval notation, it's easier to do that if you can see the picture.
01:31
Okay.
01:32
So because this has an or, there's going to be two pieces.
01:36
So we're going to write this piece in green.
01:39
So this is negative 5 forever.
01:42
So remember forever is infinity...