Interpret the following absolute value as a distance on the number line. Evalute if possible. x-7 is the distance between |x - 7| = *** Cannot be evaluated XV and
Interpret the following absolute value as a distance on the number line. Evalute if possible. x-7 is the distance between |x - 7| = *** Cannot be evaluated XV and
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,...
Related questions
Question
![**Lesson on Absolute Value as Distance on a Number Line**
**Objective:**
Interpret the following absolute value as a distance on the number line. Evaluate if possible.
---
**Exercise:**
\(|x - 7|\) represents the distance between \(x\) and \(7\).
**Question:** Evaluate \(|x - 7|\).
- [ ] Cannot be evaluated
---
**Instructions:**
1. Consider the expression \(|x - 7|\). This denotes the absolute value, which is the distance between the variable \(x\) and the number \(7\) on the number line.
2. Absolute value is always a non-negative number since distance cannot be negative.
3. Input your evaluation or check the option if it cannot be determined.
**Note:** Use the concept of absolute value to interpret distances without regard to direction.
---
**For Further Learning:** Refer to eTextbook and Media.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faeeca323-3b43-4b4c-a978-afa81230e85e%2F60474c3d-27a0-4d73-a1ef-1ede66f3a1c4%2Firlzda_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Lesson on Absolute Value as Distance on a Number Line**
**Objective:**
Interpret the following absolute value as a distance on the number line. Evaluate if possible.
---
**Exercise:**
\(|x - 7|\) represents the distance between \(x\) and \(7\).
**Question:** Evaluate \(|x - 7|\).
- [ ] Cannot be evaluated
---
**Instructions:**
1. Consider the expression \(|x - 7|\). This denotes the absolute value, which is the distance between the variable \(x\) and the number \(7\) on the number line.
2. Absolute value is always a non-negative number since distance cannot be negative.
3. Input your evaluation or check the option if it cannot be determined.
**Note:** Use the concept of absolute value to interpret distances without regard to direction.
---
**For Further Learning:** Refer to eTextbook and Media.
Expert Solution
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