A quadratic inequality is a mathematical expression involving a quadratic polynomial that is set to be greater than or less than zero, rather than equal to a value. Solving a quadratic inequality involves finding the range of values for which the inequality holds true, often by analyzing the roots of the corresponding quadratic equation and determining intervals of positivity or negativity.

Quadratic Inequality

quadratic inequality

A mathematical expression is a combination of numbers, variables, and operators that represents a particular value or set of values. It forms the foundation for equations and inequalities, allowing for the manipulation and evaluation of mathematical relationships.

mathematical expression

quadratic polynomial

Greater than zero

less than zero

Solving a quadratic inequality

range of values

inequality holds true

roots of the corresponding quadratic equation

intervals of positivity

Intervals of negativity

Understanding Quadratic Inequalities: Graphical Representation and Solutions

Understanding Quadratic Inequalities: Techniques and Applications

Graphical Solutions for Quadratic Inequalities

Relevant Degrees

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