19. What are the approximate solutions to O5.29, 14.78 O≈ 0.92, ≈ 2.58 O-2.29, Oz≈-3.15, ≈ 1.78 ≈ 7.33 +3?

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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**Question 19: Solving an Absolute Value Equation**

We are presented with the equation:

\[ \left| \frac{1}{8}x - 5 \right| = 2 \left|\frac{1}{2}x \right| + 3 \]

We need to determine the approximate solutions for \( x \) from the following options:

1. \( x \approx 5.29, \, x \approx 4.78 \)
2. \( x \approx 0.92, \, x \approx 2.58 \)
3. \( x \approx -2.29, \, x \approx 1.78 \)
4. \( x \approx -3.15, \, x \approx 7.33 \)

The task requires finding which of these pairs of \( x \) satisfy the given equation correctly.
Transcribed Image Text:**Question 19: Solving an Absolute Value Equation** We are presented with the equation: \[ \left| \frac{1}{8}x - 5 \right| = 2 \left|\frac{1}{2}x \right| + 3 \] We need to determine the approximate solutions for \( x \) from the following options: 1. \( x \approx 5.29, \, x \approx 4.78 \) 2. \( x \approx 0.92, \, x \approx 2.58 \) 3. \( x \approx -2.29, \, x \approx 1.78 \) 4. \( x \approx -3.15, \, x \approx 7.33 \) The task requires finding which of these pairs of \( x \) satisfy the given equation correctly.
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