00:01
In this problem, we're being asked to solve the given absolute value inequality.
00:04
So, remember, when you're trying to find the absolute value of a number, you're finding its distance from zero on the number line.
00:10
So in this case, we're trying to find the values of x, such that the absolute value of 2x minus 5 is a distance that is greater than 1 unit away from 0.
00:19
So if you think about this with a number line, that means that 2x minus 5 could either be greater than or equal to 1, or it could be less than or equal to negative 1, because all of these.
00:30
These values would be greater than one unit away from zero.
00:33
So in terms of setting up our inequalities, we now know that 2x minus 5 could be less than or equal to negative 1, or 2x minus 5 could be greater than or equal to positive 1.
00:44
And now we solve both inequalities.
00:46
So to solve the first, we're going to add 5 to both sides.
00:50
Negative 1 plus 5 is 4.
00:53
And then we'll divide both sides by 2...