Algebra Calculators
Absolute Value Inequality Calculator
Solve |x − a| < b or > b and plot the solution set.
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What is Absolute Value Inequality?
An absolute value measures distance from a point. So |x − a| < b says x is within b units of a — one interval — while |x − a| > b says x is farther away than b, which splits into two intervals.
How it works
A less-than splits into the double inequality a − b < x < a + b; a greater-than splits into two cases joined by OR. A negative b is handled as the geometry it is: nothing is a negative distance, so a less-than has no solution and a greater-than has every real number.
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Examples
Realistic sample
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Common mistakes
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