Question

the diameter d of a fiber optic cable must be at least 4.8mm and at most 5.2mm. Write an absolute value inequality and a compound inequality for the diameter of the cable.

Answer 1

Using the absolute value function, we have that:

• The absolute value inequality is: |x - 5| ≤ 0.2.

• The compound inequality is 4.8 ≤ x ≤ 5.2.

What is the absolute value function?

The absolute function is defined by:

• |x| = x, x ≥ 0.

• |x| = -x, x < 0.

It measures the distance of a point x to the origin.

The diameter must be at least 4.8mm and at most 5.2mm, hence the compound inequality is:

4.8 ≤ x ≤ 5.2.

Another interpretation is that they are at most 0.2 mm from 5 mm, hence the absolute value inequality that models the situation can be given by:

|x - 5| ≤ 0.2.

More can be learned about the absolute value function at brainly.com/question/28396388

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