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3 years ago

An industrial laser cuts steel plates that are 11.93 meters long. The laser can have an error value of at most 0.02 meters.

Mathematics

1 answer:

Ivenika [448]3 years ago

3 0

Answer:

| x - 11.93 | ≤ 0.02
11.91 ≤ x ≤ 11.95

Step-by-step explanation:

Error is the difference from the nominal value, hence the nominal value is what is subtracted from x. We want the magnitude of that difference, | x-11.93 |, to be less than the maximum error value, 0.02, so the inequality is ...

|x -11.93| ≤ 0.02

We can solve this by "unfolding" it, then adding 11.93:

-0.02 ≤ x -11.93 ≤ 0.02

11.91 ≤ x ≤ 11.95

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Part 1)

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Part 2)

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Step-by-step explanation:

we know that

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Part 1)

Find the value of x

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using a graphing tool

see the attached figure N 1

The solutions are

$x=-5, x=1$

Find the value of m

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solve for m

using a graphing tool

see the attached figure N 2

The solutions are

$m=-10, m=14$

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