The street built in the city must be 25 feet in width with a tolerance of 0.5 feet. Streets that are not within the tolerated widths must be repaired. Which of the following inequalities can be used to assess which streets are within tolerance? (W is the width of the street).- A. $ |W - 0.5| \leq 25 $- B. $ |W - 25| \leq 0.5 $- C. $ |W - 0.5| \geq 25 $- D. $ |W - 25| \geq 0.5 $**Explanation:**- **Option A:** This inequality checks if the absolute difference between the street width and 0.5 is less than or equal to 25 feet. This does not directly address the tolerance around 25 feet.- **Option B:** This inequality ensures that the street width $ W $ is within 0.5 feet of 25 feet, either above or below. This correctly represents the tolerance requirement.- **Option C:** This inequality checks if the absolute difference between the street width and 0.5 is at least 25 feet, which is not relevant for checking the described tolerance.- **Option D:** This inequality indicates that the street width must be at least 0.5 feet away from 25 feet, contradicting the idea of staying within the tolerance range.The correct inequality to use for checking if streets are within the tolerance is **Option B** $ |W - 25| \leq 0.5 $.

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The street built in the city must be 25 feet in width with a tolerance of 0.5 feet. Streets that are not within the tolerated widths must be repaired. Which of the following inequalities can be used to assess which streets are within tolerance? (W is the width of the street).

The street built in the city must be 25 feet in width with a tolerance of 0.5 feet. Streets that are not within the tolerated widths must be repaired. Which of the following inequalities can be used to assess which streets are within tolerance? (W is the width of the street).

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

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Question

The street built in the city must be 25 feet in width with a tolerance of 0.5 feet. Streets that are not within the tolerated widths must be repaired. Which of the following inequalities can be used to assess which streets are within tolerance? (W is the width of the street).

- A. $ |W - 0.5| \leq 25 $
- B. $ |W - 25| \leq 0.5 $
- C. $ |W - 0.5| \geq 25 $
- D. $ |W - 25| \geq 0.5 $

**Explanation:**

- **Option A:** This inequality checks if the absolute difference between the street width and 0.5 is less than or equal to 25 feet. This does not directly address the tolerance around 25 feet.

- **Option B:** This inequality ensures that the street width $ W $ is within 0.5 feet of 25 feet, either above or below. This correctly represents the tolerance requirement.

- **Option C:** This inequality checks if the absolute difference between the street width and 0.5 is at least 25 feet, which is not relevant for checking the described tolerance.

- **Option D:** This inequality indicates that the street width must be at least 0.5 feet away from 25 feet, contradicting the idea of staying within the tolerance range.

The correct inequality to use for checking if streets are within the tolerance is **Option B** $ |W - 25| \leq 0.5 $.

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