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The absolute value function of a real number returns its value irrespective of its sign, whereas the sign (or signum) function returns a number's sign irrespective of its value. The following equations show the relationship between these two functions:
To solve absolute value equations, find x values that make the expression inside the absolute value positive or negative the constant. To graph absolute value functions, plot two lines for the positive and negative cases that meet at the expression's zero.
Learn what absolute value means, how to write it with bars or abs function, and how to use it in algebra and arithmetic. See examples of absolute value of positive, negative and zero numbers, and how to subtract with absolute value.
21 wrz 2023 · To solve an absolute value equation, such as \(|X| = p\), replace it with the two equations \(X = −p\) and \(X = p\) and then solve each as usual. Absolute value equations can have up to two solutions.
Learn how to think about absolute value as distance from zero, and practice finding absolute values. See examples, problems, tips, and comments on absolute value symbol and real-life scenarios.
Solving absolute value equations is as easy as working with regular linear equations. The only additional key step that you need to remember is to separate the original absolute value equation into two parts: positive and negative (±) components. Below is the general approach on how to break them down into two equations:
This topic covers: Solving absolute value equations. Graphing absolute value functions. Solving absolute value inequalities.
