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,...
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**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.

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**Exercise:**

\(|x - 7|\) represents the distance between \(x\) and \(7\).

**Question:** Evaluate \(|x - 7|\).

- [ ] Cannot be evaluated

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**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.
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.
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