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Which equation represents the set of all x-values that are exactly 42 units from 13?

Which equation represents the set of all x-values that are exactly 42 units from 13?

Algebra and Trigonometry (6th Edition)
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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Which equation represents the set of all x-values that are exactly 42 units from 13?
**Question:** Which equation represents the set of all x-values that are exactly 42 units from 13? **Choices:** A. \(|x + 13| = 29\) B. \(|x - 42| = 13\) C. \(|x - 13| = 42\) D. \(|x - 29| = 42\) **Explanation:** The problem presents four equations involving absolute values. The solution requires identifying the equation where x-values are a specific distance from the number 13. Absolute value expressions, such as \(|x - 13| = 42\), indicate that the distance between x and 13 is 42 units, which might be helpful in identifying the correct answer.
Transcribed Image Text:**Question:** Which equation represents the set of all x-values that are exactly 42 units from 13? **Choices:** A. \(|x + 13| = 29\) B. \(|x - 42| = 13\) C. \(|x - 13| = 42\) D. \(|x - 29| = 42\) **Explanation:** The problem presents four equations involving absolute values. The solution requires identifying the equation where x-values are a specific distance from the number 13. Absolute value expressions, such as \(|x - 13| = 42\), indicate that the distance between x and 13 is 42 units, which might be helpful in identifying the correct answer.
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