Practice with Absolute Value Inequalities


Solve the following problems dealing with absolute value inequalities.

1.

 
       Solve: 



 

2.

 
    Solve: 

 


 

3.


     Solve: 
 

 

Answer

 


 

4.

    Solve: 


 

5.


  Solve:
 
                               


 

Answer


 

6.

Forensic scientists use the equation
 h = 2.6f + 47.2
to estimate the height, h, of a woman given the length in centimeters, f, of her femur bone.  Suppose the equation has a margin of error of + 4 centimeters and the length of a female skeleton's femur is 48 centimeters.  Write and solve an absolute value inequality that describes the woman's height in centimeters.




 


Roberts