Question

the ideal diameter of a machine part is 13.05 mm. At the factory, quality control inspector is told that the actual diameter can vary from ideal by at most 0.015 mm. Write and solve and absolute value inequality to find the range of acceptable diameters.

Answer 1

The inequality would be
|x - 13.05| <= 0.15
-0.15 => x - 13.05 <= 0.15

giving x <= 12.90 and x >= 13.20

12.90 =< x <= 13.20 answer