The standard diameter of a golf ball is 42.67 mm. a golf ball factory does quality control on the balls it manufactures. golf balls are randomly measured to ensure the correct size. one day, an inspector decides to stop production if the discrepancy in diameter is more than 0.002 mm. which function could represent this situation?

Standard diameter of golf ball = 42.67 mm

Maximum discrepancy accepted = 0.002 mm.

There are several ways to express that situation.

Calling x the diameter of any ball, these are the main two ways, one using the function absolute value and other without uisng it.

1)  Without using the function absolute value:

42.67 mm - 0.02mm ≤ x ≤ 42.67 mm + 0.002 mm

     42.65 mm ≤ x ≤ 42.69

2) Using the function absolute value

Subtract 42.67 mm on the three parts of the relation of above:

    - 0.02 mm ≤ x - 42.67 mm ≤  0.02

     | x - 42.67mm| ≤ 0.02 mm
    

c. y≤4x+2

c. y≤4x+2