Calculadora de Notação Intervalar

The Interval Notation Calculator converts the representation of a real number interval, such as (a, b) or [a, b], into the corresponding inequality form. For example, the open interval (2, 5) translates to 2 < x < 5, while the closed interval [1, 4] results in 1 ≤ x ≤ 4. The tool also handles mixed intervals, like (0, 3] which becomes 0 < x ≤ 3, and infinite intervals such as (−∞, 7) which becomes x < 7. The operation is simple: the user enters the lower and upper bounds, chooses whether each endpoint is open or closed, and the calculator automatically generates the inequality.

This calculator is useful for math students learning to switch between different interval representations, common in Algebra, Calculus, and Analysis courses. Teachers can use it to check exercises or quickly create examples. Professionals working with functions, inequalities, or optimization also benefit, as interval notation frequently appears in domain, range, and solution set problems. The tool speeds up conversion, avoiding manual errors.

Important precautions: ensure the bounds are in the correct order (lower less than upper), otherwise the inequality may be inconsistent. For infinite intervals, use words like 'infinity' or symbols ∞/−∞, which the calculator recognizes. Remember that (a, b) excludes endpoints, while [a, b] includes them. In cases of empty intervals, such as (2, 1), the tool will indicate no solution. Always double-check the final result, especially in exam or work contexts.