Question

Question
The length of a manufactured ceramic bead is 4.3 centimeters with an acceptable allowance of 0.2 centimeters. Beads that are too big or too small are discarded.

What absolute value inequality can be written to determine the range of acceptable bead lengths, and what is this range of lengths?

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Absolute value inequality:

A bead can be no shorter than
cm and no longer than
cm.

Answer 1

The range of lengths is given by the inequality:

4.1 in ≤ L ≤ 4.5 in

What is the acceptable range of lengths?

We know that the length of a manufactured ceramic bead is 4.3 centimeters, with an acceptable error of 0.2 inches.

This means that the length of the ceramic bead can be, at most, 0.2 inches away (lower or upper) from 4.3 in.

Then the smaller length allowed is:

4.3 in - 0.2 in = 4.1 in

The largest length allowed is:

4.3 in + 0.2in = 4.5in

Then the range of lengths is given by the inequality:

4.1 in ≤ L ≤ 4.5 in

If you want to learn more about inequalities:

https://brainly.com/question/24372553

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