00:01
Here we have a solution set of all the xs that fall in between negative 3 and positive 5, which can be written as negative 3 is less than or equal to x, which is less than or equal to 5.
00:14
We want to find an inequality involving absolute value that represents the set.
00:20
So it might be helpful if we work backwards.
00:22
Understand that this is yes written as a whole, but we can split it up to help us see what we're trying to work towards.
00:30
This is that x is less than or equal to five, and also that x is greater than or equal to negative three.
00:38
So we want to consider a simple inequality with absolute value bars, or actually without to start, that would get us x is less than or equal to.
00:51
So we could start with something like x minus one is less than or equal to.
01:02
If we were to add that one over, we would have our solution of x is less than or equal to five.
01:08
So what i'm going to do is i'm going to take that x minus one, and i'm going to throw absolute value bars around it.
01:16
In solving an absolute value equation, you have two different inequality.
01:20
Sorry, an absolute value inequality, you have two different inequalities to solve.
01:24
You have the inequality that is here, one where we have these absolute value bars and it's less than or equal to four.
01:31
So to solve that, we would begin by dropping the absolute value bars.
01:34
So we would just have what was inside the x minus one, keeping our sign and keeping the four...