Question

A company manufactures penny number 2 nails that are 1 inch in length. The actual length is allowed to vary by up to 1/32 inch. Write and solve an absolute value equation to find the minimum and maximum acceptable nail length.
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Answer 1

An absolute value equation to find the minimum and maximum acceptable nail length is; 31/32 ≤ X ≤  1 ¹/₃₂

How to solve absolute value functions?

We are told that the company manufactures 2 nails that are 1 inch in length. The actual length is allowed to vary by up to 1/32 inch. Thus;

Actual Length of nail = 1 inch

Allowable variation = 1/32 inches

The minimum allowable length is expressed as:

minimum allowable length = actual length - allowable variation

minimum allowable length = 1 - (1/32) = 31/32

The maximum allowable length is expressed as:

Maximum allowable length = Actual length + allowable variation

Maximum allowable length = 1 + (1/32) = 1 ¹/₃₂

The length of X, of the nail must be follow the equation :

Minimum ≤ X ≤ maximum

Thus, an absolute value equation to find the minimum and maximum acceptable nail length is; 31/32 ≤ X ≤  1 ¹/₃₂

Read more about Absolute Value functions at; brainly.com/question/3381225

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