230k views
2 votes
Before a piece of steel can be sold for its maximum price, it must be 35 feet long with an absolute error of 1 foot. Find the range of acceptable heights for steels that are to be sold at full price by writing an absolute value inequality to represent this situation then solving it.

1 Answer

4 votes

Let's call x to the height. The inequality that represents an acceptable range is:

|x - 35| ≤ 1

Solving it, we get:

x - 35 ≤ 1 or x - 35 ≥ -1

x ≤ 1 + 35 x ≥ -1 + 35

x ≤ 36 x ≥ 34

which is equivalent to 34 ft ≤ x ≤ 36 ft

User Eremite
by
5.7k points