Thinking of Absolute Value as a Distance

Click on the following sentence to see an example:  The distance from x to -3 is no more than 7.

Translate the following into mathematical expressions involving absolute value.

 

Solutions
1.   | x - 3| > 5
2.   |x + 7| < 4
3.   |x - 12| < 10
4.   |x - 7| > 2
5.   |x + 2| < 3