Question

Question 23 of 30

The ideal length of a metal rod is 38.5 cm. The measured length may vary
from the ideal length by at most 0.055 cm. What is the range of acceptable
lengths for the rod?
A. 38.445 2x2 38.555
B. 38.4452x≤ 38.555
C. 38.445≤x≤ 38.555
D. x≤ 38.445 or x2 38.555

Answer 1

C.
`38.445\leq x\leq 38.555`

Explanation:

The measured length varies from the ideal length by 0.055 cm at most, so to find the range of possible lengths, we subtract 0.055 from the ideal, 38.5.

`38.5-0.055=38.445\\38.5+0.055=38.555`

The measured length can be between 38.445 and 38.555 inclusive. This can be written in an equation using greater-than-or-equal-to signs:

`38.445\leq x\leq 38.555`

38.445 is less than or equal to X, which is less than or equal to 38.555.

So the answer to your question is C.