can you help me with math please.

Question

Solve the absolute value inequality. Express the answer using interval notation.

|x + 6| < 0.004

Graph the solution set

Answer 1

the original problem should be converted to

-0.004 < x+6 < 0.004.

 

To solve that, subtract six from each of the three parts of this equivalent compound inequality.

 

The result will be x lying between two values a and b, and in interval notation the solution will be (a,b).