Question

You need to drill a hole in a piece of metal for a machine shop project. The specifications indicate that the diameter of the hole should be at least 0.355 inch and at most 0.375 inch. Write an absolute value inequality that represents the acceptable diameters of the circle

Answer 1

The clue is in the words 'at least' and 'at most'

'at least 0.355 inch' means the diameter can't go lower than 0.355
'at least 0.375 inch' means the diameter can't go over 0.375

'at least 0.355-inch' means d ≥ 0.355
'at most 0.375 inch' means d ≤ 0.375

Put them together 0.355 ≤ d ≤ 0.375