00:01
Right here we have this problem that shows absolute value.
00:04
So let's go through each of these in turn.
00:06
So we're going to start with a, where it says that the absolute value of x is greater than negative 1.
00:12
Well, let's think about it.
00:14
What absolute value does is it measures distance.
00:17
It's a way of communicating distance.
00:19
Things can only be, a distance is always positive.
00:23
So what absolute value does is it makes it positive.
00:26
So no matter what value of x is, it's going to be positive, which means, it's going to be greater than negative 1.
00:32
So the answer here is going to be all real numbers.
00:36
All real.
00:37
I'm just going to write the number symbol.
00:39
All real numbers.
00:40
Now it's like a b where we have 0 is less than or equal to the absolute value of x, which is less than or equal to 1.
00:50
So basically if x is going to be anything between 0 and negative 1 or 0 and 1, then it's going to follow this because if it's negative 1, then the absolute value is going to make it positive one...