Acarpenter is making a part for a desk. the part is to be 256 millimeters wide plus or minus 3 millimeters. this means that the absolute value of the difference between the dimension of the part and 256 can be no more than 3 millimeters. to the nearest millimeter, what are the acceptable dimensions of the part

 Acceptable dimensions of the part are = 253 mm, 254 mm, 255 mm, 256 mm, 257 mm, 258 mm, and 259 mm

Explanation:

 A carpenter is making a part for a desk which is 256 millimeters wide plus or minus 3 millimeters.

 Width = 256±3 mm

 This means that the absolute value of the difference between the dimension of the part and 256 can be no more than 3 millimeters

 So acceptable dimensions of the part are = 253 mm, 254 mm, 255 mm, 256 mm, 257 mm, 258 mm, and 259 mm.