Question

The ideal width of a safety belt strap for a certain automobile is 5 cm. An actual width can vary by at most 0.35 cm. Write an absolute value inequality for the range of acceptable widths A. |w5| ≤ 0.35 B. |w – 0.35| ≤ 5 C. |w + 5| ≤ 0.35 D. |w + 0.35| ≤ 5

Answer 1

Answer: A.
`\ |w-5|\leq0.35`

Explanation:

Let w represents the actual width of a safety belt strap for a any automobile.

It is given that the ideal width of a safety belt strap for a certain automobile.

Also, an actual width can vary by at most 0.35 cm.

This means
`-0.35\leq w-5\leq0.35`

`\Rightarrow\ |w-5|\leq0.35`

Therefore, the absolute value inequality for the range of acceptable widths will be :-

`\ |w-5|\leq0.35`