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Solve each of the following inequalities involving absolute values. (a)* |4 − 3x| < 6 (b) 8 + 2x ≥ 7

Solve each of the following inequalities involving absolute values. (a)* |4 − 3x| < 6 (b) 8 + 2x ≥ 7

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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**Problem Statement: Solve each of the following inequalities involving absolute values.** (a)* \(|4 - 3x| < 6\) (b) \(|8 + 2x| \geq 7\) --- To solve these inequalities, you would need to consider the nature of absolute values, which dictate that \(|a| < b\) means \(-b < a < b\) and \(|a| \geq b\) means \(a \leq -b\) or \(a \geq b\).
Transcribed Image Text:**Problem Statement: Solve each of the following inequalities involving absolute values.** (a)* \(|4 - 3x| < 6\) (b) \(|8 + 2x| \geq 7\) --- To solve these inequalities, you would need to consider the nature of absolute values, which dictate that \(|a| < b\) means \(-b < a < b\) and \(|a| \geq b\) means \(a \leq -b\) or \(a \geq b\).
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