4. Solve, x+3 11 = 3 x + 8

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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---

**Problem 4:**

Solve the equation: 

\[
|x + 3| = \left|\frac{1}{3}x + 8\right|
\]

---

**Explanation:**

This problem involves solving an absolute value equation. The equation is:

\[
|x + 3| = \left|\frac{1}{3}x + 8\right|
\]

To solve this equation, consider the following cases:

1. **Case 1**: \( x + 3 = \frac{1}{3}x + 8 \)

2. **Case 2**: \( x + 3 = -\left(\frac{1}{3}x + 8\right) \)

Solve each case separately to find the values of \( x \).
Transcribed Image Text:Certainly! Here is how the information from the image would be transcribed for an educational website: --- **Problem 4:** Solve the equation: \[ |x + 3| = \left|\frac{1}{3}x + 8\right| \] --- **Explanation:** This problem involves solving an absolute value equation. The equation is: \[ |x + 3| = \left|\frac{1}{3}x + 8\right| \] To solve this equation, consider the following cases: 1. **Case 1**: \( x + 3 = \frac{1}{3}x + 8 \) 2. **Case 2**: \( x + 3 = -\left(\frac{1}{3}x + 8\right) \) Solve each case separately to find the values of \( x \).
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