Question

In Exercises $53-62,$ some applications of inequalities are shown. The velocity $v$ of an ultrasound wave in soft human tissue may be represented as $1550 \pm 60 \mathrm{m} / \mathrm{s},$ where the $\pm 60 \mathrm{m} / \mathrm{s}$ gives the possible variation in the velocity. Express the possible velocities by an inequality.

Name: Problem 60, Chapter 17: Basic Technical Mathematics with Calculus
Uploaded: 2021-06-25T15:25:28-08:00
Duration: 1 min 9 s
Channel: Audrey Fong
Description: In Exercises 53-62, some applications of inequalities are shown. The velocity v of an ultrasound wave in soft human tissue may be represented as 1550 ±60 m / s, where the ±60 m / s gives the possible variation in the velocity. Express the possible velocities by an inequality.

   In Exercises $53-62,$ some applications of inequalities are shown.
The velocity $v$ of an ultrasound wave in soft human tissue may be represented as $1550 \pm 60 \mathrm{m} / \mathrm{s},$ where the $\pm 60 \mathrm{m} / \mathrm{s}$ gives the possible variation in the velocity. Express the possible velocities by an inequality.

Basic Technical Mathematics with Calculus

Allyn J. Washington,… 11th Edition

Chapter 17, Problem 60

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Solved by Expert Audrey Fong

06/25/2021

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This means that the velocity can vary by $60 \mathrm{m} / \mathrm{s}$ above or below $1550 \mathrm{m} / \mathrm{s}$. Show more…

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In Exercises $53-62,$ some applications of inequalities are shown. The velocity $v$ of an ultrasound wave in soft human tissue may be represented as $1550 \pm 60 \mathrm{m} / \mathrm{s},$ where the $\pm 60 \mathrm{m} / \mathrm{s}$ gives the possible variation in the velocity. Express the possible velocities by an inequality.

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Key Concepts

Absolute Value Inequalities

Absolute value inequalities express that the deviation of a number from a specified value does not exceed a certain limit. This concept is especially useful when representing measurement tolerances or uncertainties, as it encapsulates the idea of the allowable distance from a central value.

Measurement Uncertainty

Measurement uncertainty refers to the inherent variability in any measured value, often represented as a range around a central or nominal value. By expressing uncertainty using inequalities, one can clearly indicate the limits within which the actual measurement is expected to lie.

Inequalities

Inequalities are mathematical expressions that denote the relationship between values, indicating that one value is less than or greater than another. They are used to represent ranges of possible values and are essential in situations where exact equality is not expected or possible.

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