00:01
In this problem, we're being asked to solve the given absolute value inequality.
00:04
So we have the absolute value of x minus 1 has to be less than 3.
00:08
Well, remember, when you take the absolute value of a number, it's talking about its distance from 0.
00:13
So in this case, we're trying to find the values of x, so that way, when we take its distance from 0, it's less than 3.
00:19
So if you think about a number line, here's 0.
00:22
If you go 3 units to the right, any value in between 0 and 3 would have a distance less than 3.
00:29
Well, also the same would be true if you went three units to the left.
00:33
Anything between 0 and negative 3 would also have a distance less than 3.
00:36
So that means x minus 1 has to be in between negative 3 and 3...