Solve 3|x - 4| = 10

Question:

Solve 3|x - 4| = 10

Absolute Value Equations:

Equations that contain the variable within absolute value bars are called absolute value equations. These types of equations can be solved using a simple rule regarding absolute values and a few straightforward steps.

Answer and Explanation:

The solutions to 3|x - 4| = 10 are x = 22/3 and x = 2/3.

To solve absolute value equations, we make use of the following rule.

  • if |A| = m, then A = ...

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How to Solve an Absolute Value Equation

from Math 101: College Algebra

Chapter 2 / Lesson 5
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