Final answer:
An absolute value equation |x - 13.5| ≤ 0.07 can be used to determine the maximum and minimum values of the machine part's height, which should be 13.43 millimeters and 13.57 millimeters respectively.
Step-by-step explanation:
To determine the maximum and minimum values of the machine part's height, we can use an absolute value equation. The equation would be |x - 13.5| ≤ 0.07, where x represents the height of the machine part. This equation ensures that the height is within the manufacturing tolerance of 0.07 millimeters.
The minimum value the machine part could be is 13.5 - 0.07 = 13.43 millimeters. This accounts for the allowance of 0.07 millimeters below the desired height.
The maximum value the machine part could be is 13.5 + 0.07 = 13.57 millimeters. This accounts for the allowance of 0.07 millimeters above the desired height.