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

1. a length of 36.80 mm with a tolerance of 0.05 mm

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.