Inequality Calculator

Inequality Solution:

\[ \text{Solution} = \text{solve(inequality)} \]

Solution:

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1. What is an Inequality Calculator?

An Inequality Calculator solves mathematical inequalities, providing the solution set or interval notation. It can handle linear, quadratic, polynomial, and other types of inequalities.

2. How Does the Calculator Work?

The calculator uses mathematical algorithms to:

\[ \text{1. Parse the inequality} \] \[ \text{2. Find critical points} \] \[ \text{3. Determine solution intervals} \]

Key Features:

Solves one-variable inequalities
Handles strict (>, <) and non-strict (≥, ≤) inequalities
Supports polynomial and rational inequalities
Returns solution in interval notation

3. Types of Inequalities

Linear: ax + b > c
Quadratic: ax² + bx + c ≤ 0
Polynomial: Higher degree polynomials
Rational: Inequalities with fractions
Absolute Value: |x - a| < b

4. Using the Calculator

Tips: Enter inequalities using standard mathematical notation. Examples:

x + 3 > 5
2x² - 5x ≤ 3
(x-1)/(x+2) > 0

5. Frequently Asked Questions (FAQ)

Q1: What formats does the calculator accept?
A: Standard inequality notation with variables on the left (e.g., "3x + 2 < 5").

Q2: How are solutions represented?
A: Solutions are shown in interval notation (e.g., (-∞, 2) ∪ (3, ∞)).

Q3: Can it solve systems of inequalities?
A: This calculator handles single inequalities only.

Q4: What if my inequality has no solution?
A: The calculator will return "No solution" or ∅ for impossible inequalities.

Q5: Can it solve inequalities with absolute values?
A: Yes, it can handle basic absolute value inequalities.