b) Keep your answers exact. I suspect you also didn't really know what to do when you got to an absolute value in your inequality...

You should know that an absolute value represents the distance between that number and the origin. So |x| = a means that x = -a or x = a (since both of those are a units away from the origin).

What happens if you have

? It means that the x can take on any value that has a distance that's smaller than

units away from the origin.

So

.

What happens if you have

? It means that the x can take on any value that has a distance that's greater than

units away from the origin. Therefore

or

.

So if you have

, then

. In other words, the size of

can be anything greater than or equal to 1. Does it make sense then to say that

or

?

What values therefore can

take?