Question

A factory produces widgets whose length must be within 1.5 mm of an ideal length of 47 mm. A factory supervisor wants to mark rulers with the least and greatest acceptable length for each widget for workers to use in quality control inspections. Let l be the length of the markings along the ruler. (please explain how to solve the question as well!)

Answer 1

Using absolute value, it is found that:

• The situation is described by the following equation: $|l - 47| = 1.5$
• The markings should be between 45.5mm and 48.5mm.

---------------------------

The definition of the absolute value function is as follows:

$|x| = x, x \geq 0$

$|x| = -x, x < 0$

----------------------------

The length should be set to 47mm with an allowance of 1.5mm, which means that the absolute value of the difference between the length and 47 should be 1.5, thus:

$|l - 47| = 1.5$

----------------------------

The solutions are:

$l - 47 = -1.5 \rightarrow l = 45.5$

$l - 47 = 1.5 \rightarrow l = 48.5$

The markings should be between 45.5mm and 48.5mm.

A similar problem is given at brainly.com/question/24514895