00:01
In this problem, we're being asked to solve the given absolute value in the quality.
00:04
Well, remember, when you're taking the absolute value of a number, you're finding its distance from zero on the number line.
00:09
So in this case, we're trying to find the values of x, such that the absolute value of 2x minus 9 is a distance that's less than 7 units away from 0.
00:19
So if you think about a number line, where would our values be less than 7 units away? well, you can be in between 0 and 7, but you could also be in between 0 and negative 7.
00:31
All of these values have a distance from 0 that's less than 7.
00:35
Well, that means 2x minus 9 has to fall in between negative 7 and positive 7.
00:40
So for our inequality, we'll have negative 7 is less than 2x minus 9, but this also has to be less than positive 7.
00:48
Perfect...