Note that there are two approaches to defining absolute value. The first approach is through a geometrical concept, while the second approach is the mathematical definition.
- Absolute value of x is noted: | X |
HOW TO SOLVE ABSOLUTE VALUE EQUATIONS
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Cases1. Solving by Mathematical definition.
Cases2. Solving by Graphical Definition.
a) Example 1: Solve the following absolute value equation.
Solve: | x | = 6
Solution:
To solve absolute value equations, we need to separate the absolute value into two parts: The first part is the (+) positive side, and the right side is the (-) negative side. See below:
Solve: | x + 4 | = 6
b) Example 2: Solve the following absolute value equation.
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Understanding absolute value equations is essential in mathematics. By mastering the methods to solve these equations, you can handle a wide range of mathematical problems that involve absolute values.
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Remember, absolute value equations are fundamental in various mathematical applications, from solving real-world problems to advanced calculus and algebra. Continue to explore and practice these concepts to enhance your mathematical skills.