00:01
In this problem, we're being asked to solve the given absolute value in a quality.
00:04
Remember, when you take the absolute value of a number, you're finding its distance from zero on the number line.
00:09
So in this problem, we're trying to find the values of x, so that the absolute value of x plus three is a distance that's greater than or equal to five units away from zero.
00:19
So if you think about this on a number line, if you're greater than five units away from zero, that means you could be greater than or equal to five, or you could be less than or equal to zero.
00:30
To negative 5.
00:31
All of these values, their distance from 0 is greater than or equal to 5 units.
00:35
Well, in terms of our problem, that means that x plus 3 could be less than or equal to negative 5, or x plus 3 could be greater than or equal to positive 5.
00:46
And now we solve both inequalities...