An inequality is a mathematical statement involving algebraic expressions for which we seek the values of the variables that make the inequality true.

A quadratic inequality or inequality of degree two is a second-degree polynomial inequality in one variable.

Sign analysis of inequalities is a method for determining the intervals in which a given expression is positive, negative, or zero.

A rational inequality is an inequality that involves at least one rational expression, that is, a ratio in which both the numerator and the denominator are polynomials.

An irrational inequality is an inequality in which the unknown appears under a radical sign or is raised to a fractional exponent. More precisely, it is an inequality of the form F (

Logarithmic inequalities are inequalities that involve one or more logarithmic expressions, in which the unknown x appears either in the argument of the logarithm or, in some cases, in the base...

A trigonometric inequality is an inequality in which the unknown appears as the argument of one or more trigonometric functions.

A system of inequalities is a collection of two or more inequalities that involve one or several variables and are considered simultaneously.