00:01
In this problem, we're being asked to solve the given absolute value inequality.
00:04
Well, remember, when you're finding the absolute value of a number, you're finding its distance from zero on a number line.
00:10
So in this case, we're trying to find the values of x, such that when we take the absolute value of x minus 3, we are less than 10 units away from zero.
00:20
So let's think about this by using a number line.
00:22
So if here is zero, if we're less than 10 units away, we could be in between 0 and positive 10, just not including 10.
00:30
But we could also be between 0 and negative 10.
00:34
All of these values have a distance that's less than 10 units away...