Absolute Value Calculator
Working with Absolute Value
Calculating Absolute Value:
The absolute value of a number is its distance from zero on the number line. It is always non-negative.
\( |x| = x \quad \text{if } x \ge 0 \)
\( |x| = -x \quad \text{if } x < 0 \)
Solving Absolute Value Equations:
To solve an equation like \(|ax+b|=c\), you must consider two separate cases:
- The expression inside the absolute value is positive or zero: \(ax+b=c\)
- The expression inside the absolute value is negative: \(ax+b=-c\)
You then solve each of these linear equations to find the possible solutions for x. Note that if \(c\) is negative, there is no solution.
Calculates the absolute value of a number.
Solves for x in the equation \(|ax+b|=c\).
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