Answer: 0.002 ≥ |x-3|
Step-by-step explanation:
Let the length of the part is x,
Since the Desired length is 3,
Also, the parts are within 0.002 mm of the desired specifications.
Thus, the maximum length of the part = 3 + 0.002
And, the minimum length of the part = 3 - 0.002
Therefore, we can write,
3 - 0.002 ≤ x ≤ 3 + 0.002
⇒ 3 - 0.002 ≤ x and x ≤ 3 + 0.002
⇒ -0.002 ≤ x-3 and x-3 ≤ 0.002
⇒ 0.002 ≥ -(x-3) and x-3 ≤ 0.002 (Because a > b ⇒ -a<-b)
⇒ 0.002 ≥ | x - 3 |
Which is the required absolute inequality.
