He ideal width of a safety belt strap for a certain automobile is 6 cm. an actual width can vary by at most 0.4 cm. write an absolute value inequality for the range of acceptable widths. picture of possible answers included.

1. The width of the safety belt is 6 cm, but it can vary by at most 0.4 cm

this means that the width can be at most: 6+0.4= 6.4 (cm)

and at least 6-0.4=5.6 (cm)

so the width x, is represented by the inequality

 



subtract 6 from all sides:



from the rule :  is equivalent to 

we have:

 

Bis the correct answer