Originally Posted by

**Jameson** I like to think about the absolute value of the difference of two numbers as the same thing as the bigger number minus to smaller one. |b-a|=|a-b| but depending on whether a>b or b>a the difference without the absolute value could be positive or negative.

For #1 you are just considering when b is greater than or equal to 3. What do you notice about numbers that are bigger than 3? Try plugging in b=4,5,10 and so on. Do they all have the same sign? If so, does the absolute value change anything?