Question

How do you solve one of these???

Answer 1

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.