Answer:
The acceptable lengths of the rod are the lengths between 5.8994 and 5.9006 inches.
Step-by-step explanation:
If the acceptable lengths of a rod can be expressed as:
| x - 5.9 | ≤ 0.0006
Now, if we have that:
| a | ≤ b
it can be written as:
-b ≤ a ≤ b
Then, the acceptable lengths of a rod can be also expressed as:
-0.0006 ≤ x - 5.9 ≤ 0.0006
So, if we sum 5.9 at every part of the inequation, we get:
-0.0006 + 5.9 ≤ x ≤ 0.0006 + 5.9
5.8994 ≤ x ≤ 5.9006
It means the acceptable lengths of the rod are the lengths between 5.8994 and 5.9006 inches.