How To Solve Absolute Value Problems

This sounds complicated, but it is only a step or two more than solving the typical linear equation. In this first example, the absolute value part of the equation is already isolated, so only step two will apply.Whether or not this first step applies or not, you will always have zero, one, or two solutions to any absolute value equation.Solve the equation: \(|5x – 2| = 13\) As mentioned, the absolute value part is already isolated.

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Together, they cited information from 8 references.

wiki How's Content Management Team carefully monitors the work from our editorial staff to ensure that each article meets our high quality standards. , and it is always positive, except for zero, which is neither positive nor negative.

It is equivalent to the distance between and the origin, and is usually called the complex modulus.

how far a number is from zero: "6" is 6 away from zero, and "−6" is also 6 away from zero.

An absolute value equation is solved using the same rules as any other algebraic equation; however, this type of equation has two potential results, derived from a positive equation and a negative equation.

This educational math video describes the steps necessary to solve an equation involving absolute values.

Solving absolute value equations is based on the idea that absolute value represents the distance between a point on the number line and zero.

In this lesson, we will look at a few examples to understand how to solve these equations and also take a bit of a look at this idea of distance as it relates to solving absolute value equations.

To solve an inequality containing absolute value, begin with the same steps as for solving equations with absolute value.

When creating the comparisons to both the and – of the other side of the inequality, reverse the direction of the inequality when comparing with the negative.


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