# Compound Inequality Calculator

> Solve compound linear inequalities of the form a ◊ mx + b ◊ c (AND) or mx + b ◊ c OR px + q ◊ r. Returns the solution interval with intersection-or-union reading.

**URL:** https://www.calculatoranswers.com/compound-inequality-calculator
**Category:** Education

## Quick Answer

Solve compound inequalities joined by 'and' or 'or'. Enter the coefficients for each piece to get both solution intervals and the combined intersection or union, in interval notation.

## Definition

A compound inequality calculator is an algebraic tool that solves pairs of inequalities joined by the logical connectors 'and' or 'or'. The calculator solves each inequality independently, then determines the solution set by finding either the intersection (for 'and' statements) or the union (for 'or' statements) of the individual solution intervals. It outputs the result in inequality notation and interval notation. A number line is not drawn. Algebra students use this utility to verify homework and understand compound logical conditions.

## How to Use

1. **Pick the connector, then the numbers** — Choose 'and' or 'or' first, because it changes which fields appear, then enter the coefficients for each piece.
2. **Set each relational operator** — Pick the comparison for each piece from the operator lists.
3. **Read the solution** — View each interval and the combined result, which is the overlap for and, and the merge for or.

## Disclaimer

This calculator provides estimates for educational and planning purposes. Always consult a qualified professional for specific advice on financial, medical, legal, or other regulated decisions.

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