i can not answer the four questions for you but i can give you an example of how to solve it
The inequality
|x|<2
Represents the distance between x and 0 that is less than 2
Whereas the inequality
|x|>2
Represents the distance between x and 0 that is greater than 2
You can write an absolute value inequality as a compound inequality.
$\left | x \right |<2\: or−2<x<2
This holds true for all absolute value inequalities
|ax+b|<c,wherec>0=−c<ax+b<c
|ax+b|>c,wherec>0=ax+b<−corax+b>c
You can replace > above with ≥ and < with ≤.
When solving an absolute value inequality it's necessary to first isolate the absolute value expression on one side of the inequality before solving the inequality.
