00:01
We're being asked to solve the given absolute value in the quality.
00:03
Remember, when you're asked to find the absolute value of a number, you're trying to find this distance away from zero on the number line.
00:09
So in this problem, we're trying to find the value of x, such that the absolute value of 3 minus 2x is a distance that is less than or equal to 5 units away from 0.
00:20
So if you think about this on the number line, that means that 3 minus 2x could be in between 0 and 5, but it could also be in between negative 5 and 0.
00:30
Because all of these values have a distance that's less than or equal to five units away.
00:35
So in terms of solving for x, that means that negative 5 is less than or equal to 3 minus 2x, but it's also less than or equal to 5.
00:45
And now we just need to solve.
00:47
So first, we're going to subtract 3 from each side of our inequality...