algebra (check answer)

The diameter of a valve for the space shuttle must be within 0.001 mm of 5 mm. Write and solve an absolute-value equation to find the boundary values for the acceptable diameters of the valve.

| d - 5.000| = 0.001

d - 5 = 0.001

d * 1000 - 5 * 1000 = 0.001 * 1000

1000d - 5000 = 1

1000d - 5000 + 5000 = 1 + 5000

1000d = 5001

1000d / 1000 = 5001 / 1000

d = 5001/1000

and

d - 5 = -0.001

d * 1000 - 5 * 1000 = -0.001 * 1000

1000d - 5000 = -1

1000d - 5000 + 5000 = -1 + 5000

1000d = 4999

100d / 1000 = 4999 / 1000

d = 4999 / 1000

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  1. | d - 5.000| = 0.001

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