00:01
Okay, so we want to choose a value of x that is at least 5 units away from 13.
00:05
Okay, so that means values of x that are 5 units more than 13, at least 5 units more, and at least 5 units less than 13.
00:14
So 5 units more than 13 is 18.
00:17
So that means that if x was 18, we would satisfy this constraint, but x could also be anything bigger than 18.
00:23
So that's one inequality that would satisfy this constraint.
00:28
And the other inequality is if x is anything less than 5 units less than 13, which is 8.
00:35
So x equals 8 would satisfy this constraint and anything less than that.
00:39
So if you wanted to draw this on a number line, you could put a circle on top of 18.
00:45
Make sure you color it in to represent that 18 itself satisfies this constraint, and then an arrow going in that direction.
00:53
And then likewise, we can have a circle going in that direction and an arrow.
01:00
Now make sure you use the convention of your class.
01:02
Different people have different conventions, so you might be doing something different here as well.
01:07
So that's how we would represent it on a number line.
01:12
Okay, so consider the statement, the absolute value of x is less than 0 .5...