Question

Write an absolute value inequality and a compound inequality for each length x with the given tolerance.

Answer 1

The absolute value inequality of a length of 36.80 mm with a tolerance of 0.05 mm is given by |x - 36.80| < 0.05
and
The compound inequality of a length of 36.80 mm with a tolerance of 0.05 mm is obtained as follows:
|x - 36.80| < 0.05
-0.05 < x - 36.80 < 0.05
-0.05 + 36.80 < x < 0.05 + 36.80
36.75 < x < 36.85.